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111\times 20=100x
Multiply both sides of the equation by 11100, the least common multiple of 100,111.
2220=100x
Multiply 111 and 20 to get 2220.
100x=2220
Swap sides so that all variable terms are on the left hand side.
x=\frac{2220}{100}
Divide both sides by 100.
x=\frac{111}{5}
Reduce the fraction \frac{2220}{100} to lowest terms by extracting and canceling out 20.