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m\left(n-k\right)-x\left(n-k\right)
Do the grouping mn-mk+xk-xn=\left(mn-mk\right)+\left(xk-xn\right), and factor out m in the first and -x in the second group.
\left(n-k\right)\left(m-x\right)
Factor out common term n-k by using distributive property.