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\frac{\left(2x+2\right)\times 6}{3\left(x+1\right)}
Multiply \frac{2x+2}{3} times \frac{6}{x+1} by multiplying numerator times numerator and denominator times denominator.
\frac{2\left(2x+2\right)}{x+1}
Cancel out 3 in both numerator and denominator.
\frac{2^{2}\left(x+1\right)}{x+1}
Factor the expressions that are not already factored.
2^{2}
Cancel out x+1 in both numerator and denominator.
4
Calculate 2 to the power of 2 and get 4.