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x\left(-x+2y\right)+3z\left(-x+2y\right)
Do the grouping -x^{2}+6yz+2yx-3zx=\left(-x^{2}+2yx\right)+\left(-3zx+6yz\right), and factor out x in the first and 3z in the second group.
\left(-x+2y\right)\left(x+3z\right)
Factor out common term -x+2y by using distributive property.