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