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9x-6=6-3x+6
We move all terms to the left:
9x-6-(6-3x+6)=0
We add all the numbers together, and all the variables
9x-(-3x+12)-6=0
We get rid of parentheses
9x+3x-12-6=0
We add all the numbers together, and all the variables
12x-18=0
We move all terms containing x to the left, all other terms to the right
12x=18
x=18/12
x=1+1/2
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