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2\times \frac{2x+1}{1+x}
Combine \frac{2x+1}{1+x} and \frac{2x+1}{x+1} to get 2\times \frac{2x+1}{1+x}.
\frac{2\left(2x+1\right)}{1+x}
Express 2\times \frac{2x+1}{1+x} as a single fraction.
\frac{4x+2}{1+x}
Use the distributive property to multiply 2 by 2x+1.
2\times \frac{2x+1}{1+x}
Combine \frac{2x+1}{1+x} and \frac{2x+1}{x+1} to get 2\times \frac{2x+1}{1+x}.
\frac{2\left(2x+1\right)}{1+x}
Express 2\times \frac{2x+1}{1+x} as a single fraction.
\frac{4x+2}{1+x}
Use the distributive property to multiply 2 by 2x+1.