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