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12x+42=8x-42
We move all terms to the left:
12x+42-(8x-42)=0
We get rid of parentheses
12x-8x+42+42=0
We add all the numbers together, and all the variables
4x+84=0
We move all terms containing x to the left, all other terms to the right
4x=-84
x=-84/4
x=-21
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