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2-2x=2x-1
We move all terms to the left:
2-2x-(2x-1)=0
We get rid of parentheses
-2x-2x+1+2=0
We add all the numbers together, and all the variables
-4x+3=0
We move all terms containing x to the left, all other terms to the right
-4x=-3
x=-3/-4
x=3/4
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