# How do you simplify -3 { 4x - 2 [ 3x - 4 ( x - 1 ) -2 ] -3 } +7?

##### 1 Answer
Aug 11, 2017

$= - 18 x + 28$

#### Explanation:

There are 2 terms. The second term of $7$ will be added in the last step.

Start by multiplying the innermost bracket and work outwards.

$- 3 \left\{4 x - 2 \left[3 x \textcolor{b l u e}{- 4 \left(x - 1\right)} - 2\right] - 3\right\} + 7$

$= - 3 \left\{4 x - 2 \left[3 x \textcolor{b l u e}{- 4 x + 4} - 2\right] - 3\right\} + 7 \text{ } \leftarrow$ simplify

$= - 3 \left\{4 x \textcolor{red}{- 2} \left[- x + 2\right] - 3\right\} + 7 \text{ } \leftarrow \times \textcolor{red}{- 2}$

$= - 3 \left\{4 x \textcolor{red}{+ 2 x - 4} - 3\right\} + 7 \text{ } \leftarrow$ simplify

$= \textcolor{g r e e n}{- 3} \left\{6 x - 7\right\} + 7 \text{ } \leftarrow \textcolor{g r e e n}{\times - 3}$

$= \textcolor{g r e e n}{- 18 x + 21} + 7$

$= - 18 x + 28$