Answer
$19x-119\frac{1}{2}$
Work Step by Step
We simplify by removing the parentheses and combining the like terms as follows:
$$
13\left(7 x-2 \frac{1}{2}\right)-9\left(8 x+9 \frac{2}{3}\right)\\=13\left(7 x- \frac{5}{2}\right)-9\left(8 x+ \frac{29}{3}\right)\\
=91 x- \frac{65}{2}-72 x- 87\\
=19x-119\frac{1}{2}
.$$
