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3x+45=8x-10
We move all terms to the left:
3x+45-(8x-10)=0
We get rid of parentheses
3x-8x+10+45=0
We add all the numbers together, and all the variables
-5x+55=0
We move all terms containing x to the left, all other terms to the right
-5x=-55
x=-55/-5
x=+11
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