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