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x\left(a+b+c\right)+y\left(a+b+c\right)
Do the grouping ax+by+cx+bx+cy+ay=\left(ax+bx+cx\right)+\left(ay+by+cy\right), and factor out x in the first and y in the second group.
\left(a+b+c\right)\left(x+y\right)
Factor out common term a+b+c by using distributive property.