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4x+1=-x+41
We move all terms to the left:
4x+1-(-x+41)=0
We add all the numbers together, and all the variables
4x-(-1x+41)+1=0
We get rid of parentheses
4x+1x-41+1=0
We add all the numbers together, and all the variables
5x-40=0
We move all terms containing x to the left, all other terms to the right
5x=40
x=40/5
x=8
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