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0.98x=\frac{1}{10}x
Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.
0.98x-\frac{1}{10}x=0
Subtract \frac{1}{10}x from both sides.
\frac{22}{25}x=0
Combine 0.98x and -\frac{1}{10}x to get \frac{22}{25}x.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since \frac{22}{25} is not equal to 0, x must be equal to 0.