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7x+2=12-3x
We move all terms to the left:
7x+2-(12-3x)=0
We add all the numbers together, and all the variables
7x-(-3x+12)+2=0
We get rid of parentheses
7x+3x-12+2=0
We add all the numbers together, and all the variables
10x-10=0
We move all terms containing x to the left, all other terms to the right
10x=10
x=10/10
x=1
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