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9x+6=12x-12
We move all terms to the left:
9x+6-(12x-12)=0
We get rid of parentheses
9x-12x+12+6=0
We add all the numbers together, and all the variables
-3x+18=0
We move all terms containing x to the left, all other terms to the right
-3x=-18
x=-18/-3
x=+6
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