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5x+13=10x-31
We move all terms to the left:
5x+13-(10x-31)=0
We get rid of parentheses
5x-10x+31+13=0
We add all the numbers together, and all the variables
-5x+44=0
We move all terms containing x to the left, all other terms to the right
-5x=-44
x=-44/-5
x=8+4/5
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