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1+7x=8x-7
We move all terms to the left:
1+7x-(8x-7)=0
We get rid of parentheses
7x-8x+7+1=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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