How do you solve #|2.3 - 5.7x| = 11.4#?

Question

Ethan Adkins · Accepted Answer

Find the solutions of x that give you #+-11.4# inside the absolute value bars. For that scenario, x=-1.5965 and x=2.4035

Since x is an absolute value, there are two possible solutions because of this: #abs(11.4)=11.4# and #abs(-11.4)=11.4# Consequently, we must identify the following fixes: #2.3-5.7x = 11.4# #2.3-5.7x=-11.4# The solution for both is as follows: subtract 2.3 from both sides in the first step, then divide by the coefficient of x. #x=(11.4-2.3)/(-5.7) rArr x=-9.1/5.7 = -1.5965# #x=(-11.4-2.3)/(-5.7) rArr x=13.7/5.7 = 2.4035#

Eli Assouline · Answer

undefined To solve the equation |2.3 - 5.7x| = 11.4, you need to isolate the absolute value expression and then solve for x.

Step 1: Set up two equations:
1. $2.3 - 5.7x = 11.4$
2. $2.3 - 5.7x = -11.4$

Step 2: Solve each equation separately for x.

For the first equation:
$2.3 - 5.7x = 11.4$
$5.7x = 11.4 - 2.3$
$5.7x = 9.1$
$x = \frac{9.1}{5.7}$
$x \approx 1.5965$

For the second equation:
$2.3 - 5.7x = -11.4$
$5.7x = 2.3 + 11.4$
$5.7x = 13.7$
$x = \frac{13.7}{5.7}$
$x \approx 2.4035$

So, the solutions for the equation |2.3 - 5.7x| = 11.4 are approximately $x \approx 1.5965$ and $x \approx 2.4035$.

Genesis Allen · Answer

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\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7xTo solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7xTo solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x =To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7xTo solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 -To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x =To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 \To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 -To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 \To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7xTo solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x =To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x =To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 \To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ xTo solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 \To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x =To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \fracTo solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ xTo solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x =To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \fracTo solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7}To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} \To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2.To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $To solve the equation \( |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ To solve the equation \( |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7}To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2To solve the equation \( |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} \To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.To solve the equation \( |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3To solve the equation \( |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 -To solve the equation \( |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ ForTo solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5To solve the equation \( |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.To solve the equation \( |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7To solve the equation \( |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -To solve the equation \( |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 -To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11To solve the equation \( |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.To solve the equation \( |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4To solve the equation \( |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 \To solve the equation \( |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ andTo solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x =To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solveTo solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve forTo solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $To solve the equation \( |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x \To solve the equation \( |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4:To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 -To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7xTo solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x =To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7xTo solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 \To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 \To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7xTo solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x =To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7xTo solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x =To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 -To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 -To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 \To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 \To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7xTo solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x =To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7xTo solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x =To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 \To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ xTo solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x =To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 \To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \fracTo solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ xTo solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x =To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \fracTo solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7}To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7}To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} \To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} \To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

CalculateTo solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3.To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate theTo solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. CalculateTo solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the valuesTo solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate theTo solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values ofTo solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the valuesTo solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $To solve the equation \( |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values ofTo solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x \To solve the equation \( |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $To solve the equation \( |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ xTo solve the equation \( |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ xTo solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ forTo solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for eachTo solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 =To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equationTo solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \fracTo solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ xTo solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x =To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \fracTo solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7}To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} \To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approxTo solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ xTo solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_2To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.596To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_2 =To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.596 \To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_2 = \To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.596 $$
To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_2 = \fracTo solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.596 $$
$$To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_2 = \frac{-13To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.596 $$
$$ x =To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_2 = \frac{-13.To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.596 $$
$$ x = \To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_2 = \frac{-13.7}{To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.596 $$
$$ x = \frac{-To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_2 = \frac{-13.7}{-To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.596 $$
$$ x = \frac{-13To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_2 = \frac{-13.7}{-5To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.596 $$
$$ x = \frac{-13.To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_2 = \frac{-13.7}{-5.To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.596 $$
$$ x = \frac{-13.7To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_2 = \frac{-13.7}{-5.7To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.596 $$
$$ x = \frac{-13.7}{To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_2 = \frac{-13.7}{-5.7}To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.596 $$
$$ x = \frac{-13.7}{-To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_2 = \frac{-13.7}{-5.7} \To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
\[ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.596 $$
$$ x = \frac{-13.7}{-5To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_2 = \frac{-13.7}{-5.7} $$

To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.596 $$
$$ x = \frac{-13.7}{-5.To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_2 = \frac{-13.7}{-5.7} $$

ThereforeTo solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.596 $$
$$ x = \frac{-13.7}{-5.7To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_2 = \frac{-13.7}{-5.7} $$

Therefore,To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.596 $$
$$ x = \frac{-13.7}{-5.7}To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_2 = \frac{-13.7}{-5.7} $$

Therefore, the solutionsTo solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.596 $$
$$ x = \frac{-13.7}{-5.7} \To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_2 = \frac{-13.7}{-5.7} $$

Therefore, the solutions to theTo solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.596 $$
$$ x = \frac{-13.7}{-5.7} \approxTo solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_2 = \frac{-13.7}{-5.7} $$

Therefore, the solutions to the equationTo solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.596 $$
$$ x = \frac{-13.7}{-5.7} \approx To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_2 = \frac{-13.7}{-5.7} $$

Therefore, the solutions to the equation areTo solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.596 $$
$$ x = \frac{-13.7}{-5.7} \approx 2To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_2 = \frac{-13.7}{-5.7} $$

Therefore, the solutions to the equation are $To solve the equation \( |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.596 $$
$$ x = \frac{-13.7}{-5.7} \approx 2.To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_2 = \frac{-13.7}{-5.7} $$

Therefore, the solutions to the equation are $ xTo solve the equation \( |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.596 $$
$$ x = \frac{-13.7}{-5.7} \approx 2.404To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_2 = \frac{-13.7}{-5.7} $$

Therefore, the solutions to the equation are $ x_1To solve the equation \( |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.596 $$
$$ x = \frac{-13.7}{-5.7} \approx 2.404 \To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
\[ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_2 = \frac{-13.7}{-5.7} $$

Therefore, the solutions to the equation are $ x_1 \To solve the equation \( |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.596 $$
$$ x = \frac{-13.7}{-5.7} \approx 2.404 $$

ThusTo solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_2 = \frac{-13.7}{-5.7} $$

Therefore, the solutions to the equation are $ x_1 $To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.596 $$
$$ x = \frac{-13.7}{-5.7} \approx 2.404 $$

Thus,To solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_2 = \frac{-13.7}{-5.7} $$

Therefore, the solutions to the equation are $ x_1 $ andTo solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.596 $$
$$ x = \frac{-13.7}{-5.7} \approx 2.404 $$

Thus, theTo solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_2 = \frac{-13.7}{-5.7} $$

Therefore, the solutions to the equation are $ x_1 $ and $ xTo solve the equation \( |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.596 $$
$$ x = \frac{-13.7}{-5.7} \approx 2.404 $$

Thus, the solutionsTo solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_2 = \frac{-13.7}{-5.7} $$

Therefore, the solutions to the equation are $ x_1 $ and $ x_To solve the equation \( |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.596 $$
$$ x = \frac{-13.7}{-5.7} \approx 2.404 $$

Thus, the solutions to theTo solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_2 = \frac{-13.7}{-5.7} $$

Therefore, the solutions to the equation are $ x_1 $ and $ x_2To solve the equation \( |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.596 $$
$$ x = \frac{-13.7}{-5.7} \approx 2.404 $$

Thus, the solutions to the equationTo solve the equation $ |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_2 = \frac{-13.7}{-5.7} $$

Therefore, the solutions to the equation are $ x_1 $ and $ x_2 \To solve the equation \( |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.596 $$
$$ x = \frac{-13.7}{-5.7} \approx 2.404 $$

Thus, the solutions to the equation $To solve the equation \( |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.

1. Set $ 2.3 - 5.7x = 11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

2. Set $ 2.3 - 5.7x = -11.4 $ and solve for $ x $.
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

Calculate the values of $ x $:
$$ x_1 = \frac{9.1}{-5.7} $$
$$ x_2 = \frac{-13.7}{-5.7} $$

Therefore, the solutions to the equation are $ x_1 $ and $ x_2 $.To solve the equation $ |2.3 - 5.7x| = 11.4 $, follow these steps:

1. Set up two equations:
$$ 2.3 - 5.7x = 11.4 $$
$$ \text{and} $$
$$ 2.3 - 5.7x = -11.4 $$

2. Solve each equation separately for $ x $:
$$ For \ 2.3 - 5.7x = 11.4: $$
$$ 2.3 - 5.7x = 11.4 $$
$$ -5.7x = 11.4 - 2.3 $$
$$ -5.7x = 9.1 $$
$$ x = \frac{9.1}{-5.7} $$

$$ For \ 2.3 - 5.7x = -11.4: $$
$$ 2.3 - 5.7x = -11.4 $$
$$ -5.7x = -11.4 - 2.3 $$
$$ -5.7x = -13.7 $$
$$ x = \frac{-13.7}{-5.7} $$

3. Calculate the values of $ x $ for each equation:
$$ x = \frac{9.1}{-5.7} \approx -1.596 $$
$$ x = \frac{-13.7}{-5.7} \approx 2.404 $$

Thus, the solutions to the equation $ |To solve the equation \( |2.3 - 5.7x| = 11.4 $, you would first isolate the absolute value expression and then solve for $ x $ separately in the cases where the expression inside the absolute value is positive and negative.