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10x+6=6x-42
We move all terms to the left:
10x+6-(6x-42)=0
We get rid of parentheses
10x-6x+42+6=0
We add all the numbers together, and all the variables
4x+48=0
We move all terms containing x to the left, all other terms to the right
4x=-48
x=-48/4
x=-12
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