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X=0.5X+100
We move all terms to the left:
X-(0.5X+100)=0
We get rid of parentheses
X-0.5X-100=0
We add all the numbers together, and all the variables
0.5X-100=0
We move all terms containing X to the left, all other terms to the right
0.5X=100
X=100/0.5
X=200
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