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11x+1=3x+12
We move all terms to the left:
11x+1-(3x+12)=0
We get rid of parentheses
11x-3x-12+1=0
We add all the numbers together, and all the variables
8x-11=0
We move all terms containing x to the left, all other terms to the right
8x=11
x=11/8
x=1+3/8
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