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1=x\times 2\times 10^{-2}
Multiply 0.1 and 10 to get 1.
1=x\times 2\times \frac{1}{100}
Calculate 10 to the power of -2 and get \frac{1}{100}.
1=x\times \frac{1}{50}
Multiply 2 and \frac{1}{100} to get \frac{1}{50}.
x\times \frac{1}{50}=1
Swap sides so that all variable terms are on the left hand side.
x=1\times 50
Multiply both sides by 50, the reciprocal of \frac{1}{50}.
x=50
Multiply 1 and 50 to get 50.