# How do you simplify 7(-2x+10)?

Jun 30, 2016

$7 \left(- 2 x + 10\right) = \textcolor{b l u e}{- 14 x + 70}$

#### Explanation:

The distributive property (of multiplication over addition) tells us that in general:
$\textcolor{w h i t e}{\text{XXX}} a \left(b + c\right) = a b + a c$

Therefore
$\textcolor{w h i t e}{\text{XXX}} 7 \left(\textcolor{g r e e n}{- 2 x} + \textcolor{\mathmr{and} a n \ge}{10}\right) = \textcolor{g r e e n}{7 \times \left(- 2 x\right)} + \textcolor{\mathmr{and} a n \ge}{7 \times 10}$

$\textcolor{w h i t e}{\text{XXXXXXXXXXX}} = \textcolor{g r e e n}{- 14 x} + \textcolor{\mathmr{and} a n \ge}{70}$