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(x-17)+(7x+15)=180
We move all terms to the left:
(x-17)+(7x+15)-(180)=0
We get rid of parentheses
x+7x-17+15-180=0
We add all the numbers together, and all the variables
8x-182=0
We move all terms containing x to the left, all other terms to the right
8x=182
x=182/8
x=22+3/4
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