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