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5x+24=12x-34=12
We move all terms to the left:
5x+24-(12x-34)=0
We get rid of parentheses
5x-12x+34+24=0
We add all the numbers together, and all the variables
-7x+58=0
We move all terms containing x to the left, all other terms to the right
-7x=-58
x=-58/-7
x=8+2/7
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