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\frac{2\left(x-1\right)}{x-1}+\frac{4}{x-1}
To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{x-1}{x-1}.
\frac{2\left(x-1\right)+4}{x-1}
Since \frac{2\left(x-1\right)}{x-1} and \frac{4}{x-1} have the same denominator, add them by adding their numerators.
\frac{2x-2+4}{x-1}
Do the multiplications in 2\left(x-1\right)+4.
\frac{2x+2}{x-1}
Combine like terms in 2x-2+4.