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12x-52=6x+26
We move all terms to the left:
12x-52-(6x+26)=0
We get rid of parentheses
12x-6x-26-52=0
We add all the numbers together, and all the variables
6x-78=0
We move all terms containing x to the left, all other terms to the right
6x=78
x=78/6
x=13
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