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99x=100\times 93
Multiply both sides of the equation by 9900, the least common multiple of 100,99.
99x=9300
Multiply 100 and 93 to get 9300.
x=\frac{9300}{99}
Divide both sides by 99.
x=\frac{3100}{33}
Reduce the fraction \frac{9300}{99} to lowest terms by extracting and canceling out 3.