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X+(X+100)=10
We move all terms to the left:
X+(X+100)-(10)=0
We get rid of parentheses
X+X+100-10=0
We add all the numbers together, and all the variables
2X+90=0
We move all terms containing X to the left, all other terms to the right
2X=-90
X=-90/2
X=-45
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