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-6(x-1)-7=-7x+12
We move all terms to the left:
-6(x-1)-7-(-7x+12)=0
We multiply parentheses
-6x-(-7x+12)+6-7=0
We get rid of parentheses
-6x+7x-12+6-7=0
We add all the numbers together, and all the variables
x-13=0
We move all terms containing x to the left, all other terms to the right
x=13
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