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3x-41=-4x+8
We move all terms to the left:
3x-41-(-4x+8)=0
We get rid of parentheses
3x+4x-8-41=0
We add all the numbers together, and all the variables
7x-49=0
We move all terms containing x to the left, all other terms to the right
7x=49
x=49/7
x=7
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