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7x-8=8x-17
We move all terms to the left:
7x-8-(8x-17)=0
We get rid of parentheses
7x-8x+17-8=0
We add all the numbers together, and all the variables
-1x+9=0
We move all terms containing x to the left, all other terms to the right
-x=-9
x=-9/-1
x=+9
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