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3x+2-4x=-x+9+7-2x
We move all terms to the left:
3x+2-4x-(-x+9+7-2x)=0
We add all the numbers together, and all the variables
3x-4x-(-3x+16)+2=0
We add all the numbers together, and all the variables
-1x-(-3x+16)+2=0
We get rid of parentheses
-1x+3x-16+2=0
We add all the numbers together, and all the variables
2x-14=0
We move all terms containing x to the left, all other terms to the right
2x=14
x=14/2
x=7
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