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