How do you simplify #(7x + 4) - ( 2x - 4) + ( 8x + 8)#?

Answer 1

#13x + 16#

First, distribute the negative sign in #color(blue)(-(2x-4))#: #color(blue)(-(2x-4) = -2x + 4)#

Put it back into the expression: #7x + 4 - 2x + 4 + 8x + 8#

Now let's color-code the like terms: #quadcolor(red)(7x) quadcolor(blue)(+quad4) quadcolor(red)(-quad2x) quadcolor(blue)(+quad4) quadcolor(red)(+quad8x) quadcolor(blue)(+quad8)#

Combine like terms and get the final answer: #13x + 16#

Hope this helps!

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Answer 2

Eva Abramson

To simplify the expression (7x + 4) - (2x - 4) + (8x + 8), first distribute the negative sign inside the parentheses. Then combine like terms:

(7x + 4) - (2x - 4) + (8x + 8)
= 7x + 4 - 2x + 4 + 8x + 8
= (7x - 2x + 8x) + (4 - 4 + 8)
= 13x + 8

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.