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-8-2x=7x+1
We move all terms to the left:
-8-2x-(7x+1)=0
We get rid of parentheses
-2x-7x-1-8=0
We add all the numbers together, and all the variables
-9x-9=0
We move all terms containing x to the left, all other terms to the right
-9x=9
x=9/-9
x=-1
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