We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \color{blue}{-7x} \cdot \left( -10x-9 \right) &= \color{blue}{-7x} \cdot \left( -10x\right) + \color{blue}{-7x} \cdot \left( -9\right) = \\ &= 70x^2+63x \end{aligned} $$