Answer
$0.1x+0.63x-0.13$
Work Step by Step
Using $(a+b)(c+d)=ac+ad+bc+bd$ or the FOIL Method, the product of the binomials in the given expression, $
(0.2x+1.3)(0.5x-0.1)
,$ is
\begin{array}{l}\require{cancel}
0.2x(0.5x)+0.2x(-0.1)+1.3(0.5x)+1.3(-0.1)
\\\\=
0.1x-0.02x+0.65x-0.13
\\\\=
0.1x+0.63x-0.13
.\end{array}
