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x-6=8x+6
We move all terms to the left:
x-6-(8x+6)=0
We get rid of parentheses
x-8x-6-6=0
We add all the numbers together, and all the variables
-7x-12=0
We move all terms containing x to the left, all other terms to the right
-7x=12
x=12/-7
x=-1+5/7
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