## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Using the Distributive Property, which is given by $a(b+c)=ab+ac,$ the expression , $2(4x+1),$ is equivalent to \begin{array}{l}\require{cancel} 2(4x+1) \\\\= 2(4x)+2(1) \\\\= 8x+2 .\end{array} Since this is the same as the second given expression, then the given are $\text{ equivalent expressions .}$