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x-0.01x=100
We move all terms to the left:
x-0.01x-(100)=0
We add all the numbers together, and all the variables
0.99x-100=0
We move all terms containing x to the left, all other terms to the right
0.99x=100
x=100/0.99
x=101+0.010000000000005/0.99
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