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3x\left(x-2y\right)-7\left(x-2y\right)
Do the grouping 3x^{2}-6xy-7x+14y=\left(3x^{2}-6xy\right)+\left(-7x+14y\right), and factor out 3x in the first and -7 in the second group.
\left(x-2y\right)\left(3x-7\right)
Factor out common term x-2y by using distributive property.