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4x-3-6x+1=-12x+18
We move all terms to the left:
4x-3-6x+1-(-12x+18)=0
We add all the numbers together, and all the variables
-2x-(-12x+18)-2=0
We get rid of parentheses
-2x+12x-18-2=0
We add all the numbers together, and all the variables
10x-20=0
We move all terms containing x to the left, all other terms to the right
10x=20
x=20/10
x=2
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