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