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9x-12=3x+42
We move all terms to the left:
9x-12-(3x+42)=0
We get rid of parentheses
9x-3x-42-12=0
We add all the numbers together, and all the variables
6x-54=0
We move all terms containing x to the left, all other terms to the right
6x=54
x=54/6
x=9
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