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-52x-10=45x-24
We move all terms to the left:
-52x-10-(45x-24)=0
We get rid of parentheses
-52x-45x+24-10=0
We add all the numbers together, and all the variables
-97x+14=0
We move all terms containing x to the left, all other terms to the right
-97x=-14
x=-14/-97
x=14/97
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