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