Simplify the given expression as shown below
[tex]\frac{5}{\frac{1}{6}+\frac{1}{x+1}}=\frac{5}{\frac{x+1+6}{6(x+1)}}=\frac{5}{\frac{x+7}{6(x+1)}}=\frac{5*6(x+1)}{x+7}=\frac{30(x+1)}{x+7}=\frac{30x+30}{x+7}[/tex]
Therefore, the simplified form of the expression is 30(x+1)/(x+7), while the expanded form is (30x+30)/(x+7)
