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m\left(x+1\right)+3\left(x+1\right)
Do the grouping mx+m+3x+3=\left(mx+m\right)+\left(3x+3\right), and factor out m in the first and 3 in the second group.
\left(x+1\right)\left(m+3\right)
Factor out common term x+1 by using distributive property.