# How do you simplify -7(3x + 7) + 4?

Jan 24, 2017

See the entire simplification process below:

#### Explanation:

First, expand the terms within the parenthesis:

$\textcolor{red}{- 7} \left(3 x + 7\right) + 4 \to \left(\textcolor{red}{- 7} \times 3 x\right) - \left(\textcolor{red}{7} \times 7\right) + 4 \to$

$- 21 x - 49 + 4$

Now, combine constants:

$- 21 x - 45$

A $\textcolor{red}{3}$ can also be factored from each term:

$\left(\textcolor{red}{3} \times - 7\right) x - \left(\textcolor{red}{3} \times 15\right) \to 3 \left(- 7 x + 15\right)$