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8x+1=5x+22=
We move all terms to the left:
8x+1-(5x+22)=0
We get rid of parentheses
8x-5x-22+1=0
We add all the numbers together, and all the variables
3x-21=0
We move all terms containing x to the left, all other terms to the right
3x=21
x=21/3
x=7
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