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a\left(x+y\right)+7\left(x+y\right)
Do the grouping ax+ay+7x+7y=\left(ax+ay\right)+\left(7x+7y\right), and factor out a in the first and 7 in the second group.
\left(x+y\right)\left(a+7\right)
Factor out common term x+y by using distributive property.