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m\left(3m-2n\right)+2x\left(3m-2n\right)
Do the grouping 3m^{2}-2mn+6mx-4nx=\left(3m^{2}-2mn\right)+\left(6mx-4nx\right), and factor out m in the first and 2x in the second group.
\left(3m-2n\right)\left(m+2x\right)
Factor out common term 3m-2n by using distributive property.