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15x+6=9x-6
We move all terms to the left:
15x+6-(9x-6)=0
We get rid of parentheses
15x-9x+6+6=0
We add all the numbers together, and all the variables
6x+12=0
We move all terms containing x to the left, all other terms to the right
6x=-12
x=-12/6
x=-2
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