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6-6x=6x+2
We move all terms to the left:
6-6x-(6x+2)=0
We get rid of parentheses
-6x-6x-2+6=0
We add all the numbers together, and all the variables
-12x+4=0
We move all terms containing x to the left, all other terms to the right
-12x=-4
x=-4/-12
x=1/3
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