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-6x+4=6x-3
We move all terms to the left:
-6x+4-(6x-3)=0
We get rid of parentheses
-6x-6x+3+4=0
We add all the numbers together, and all the variables
-12x+7=0
We move all terms containing x to the left, all other terms to the right
-12x=-7
x=-7/-12
x=7/12
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