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\frac{121}{100}x=100
Combine x and \frac{21}{100}x to get \frac{121}{100}x.
x=100\times \frac{100}{121}
Multiply both sides by \frac{100}{121}, the reciprocal of \frac{121}{100}.
x=\frac{100\times 100}{121}
Express 100\times \frac{100}{121} as a single fraction.
x=\frac{10000}{121}
Multiply 100 and 100 to get 10000.