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