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2x+41=3x-6
We move all terms to the left:
2x+41-(3x-6)=0
We get rid of parentheses
2x-3x+6+41=0
We add all the numbers together, and all the variables
-1x+47=0
We move all terms containing x to the left, all other terms to the right
-x=-47
x=-47/-1
x=+47
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