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3x+4-6x+2=3x+9
We move all terms to the left:
3x+4-6x+2-(3x+9)=0
We add all the numbers together, and all the variables
-3x-(3x+9)+6=0
We get rid of parentheses
-3x-3x-9+6=0
We add all the numbers together, and all the variables
-6x-3=0
We move all terms containing x to the left, all other terms to the right
-6x=3
x=3/-6
x=-1/2
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