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12x+1=15x+34
We move all terms to the left:
12x+1-(15x+34)=0
We get rid of parentheses
12x-15x-34+1=0
We add all the numbers together, and all the variables
-3x-33=0
We move all terms containing x to the left, all other terms to the right
-3x=33
x=33/-3
x=-11
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