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\frac{101}{100}x=2
Combine x and \frac{1}{100}x to get \frac{101}{100}x.
x=2\times \frac{100}{101}
Multiply both sides by \frac{100}{101}, the reciprocal of \frac{101}{100}.
x=\frac{2\times 100}{101}
Express 2\times \frac{100}{101} as a single fraction.
x=\frac{200}{101}
Multiply 2 and 100 to get 200.