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