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x\left(m+n\right)-2\left(m+n\right)
Do the grouping mx+nx-2m-2n=\left(mx+nx\right)+\left(-2m-2n\right), and factor out x in the first and -2 in the second group.
\left(m+n\right)\left(x-2\right)
Factor out common term m+n by using distributive property.