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3x-2+4x-2=3x-2x+7x+1
We move all terms to the left:
3x-2+4x-2-(3x-2x+7x+1)=0
We add all the numbers together, and all the variables
3x+4x-(8x+1)-2-2=0
We add all the numbers together, and all the variables
7x-(8x+1)-4=0
We get rid of parentheses
7x-8x-1-4=0
We add all the numbers together, and all the variables
-1x-5=0
We move all terms containing x to the left, all other terms to the right
-x=5
x=5/-1
x=-5
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