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8x+10=9x+41
We move all terms to the left:
8x+10-(9x+41)=0
We get rid of parentheses
8x-9x-41+10=0
We add all the numbers together, and all the variables
-1x-31=0
We move all terms containing x to the left, all other terms to the right
-x=31
x=31/-1
x=-31
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