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