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(7x-1)-(x-1-x/2)=5x+1/2
We move all terms to the left:
(7x-1)-(x-1-x/2)-(5x+1/2)=0
We add all the numbers together, and all the variables
(7x-1)-(x-x/2-1)-(+5x+1/2)=0
We get rid of parentheses
7x-x+x/2-5x-1+1-1/2=0
We multiply all the terms by the denominator
7x*2-x*2+x-5x*2-1-1*2+1*2=0
We add all the numbers together, and all the variables
x+7x*2-x*2-5x*2-1=0
Wy multiply elements
x+14x-2x-10x-1=0
We add all the numbers together, and all the variables
3x-1=0
We move all terms containing x to the left, all other terms to the right
3x=1
x=1/3
x=1/3
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