Question
Simplify: $5x - [4y - {7x - (3z - 2y) + 4z - 3(x + 3y - 2z)}]$
✓
Answer
Removing the innermost grouping symbol $( )$ first, then $\{\}$ and then $[ ]$, we have:
$5x - [4y - {7x - (3z - 2y) + 4z - 3(x + 3y - 2z)}] $
$= 5x - [4y - {7x - 3z + 2y + 4z - 3x - 9y + 6z}] $
$= 5x - [4y - {4x + 7z - 7y}] $
$= 5x - [4y - 4x - 7z + 7y] $
$= 5x - [11y - 4x - 7z] $
$= 5x - 11y + 4x + 7z $
$= 9x - 11y + 7z$
$5x - [4y - {7x - (3z - 2y) + 4z - 3(x + 3y - 2z)}] $
$= 5x - [4y - {7x - 3z + 2y + 4z - 3x - 9y + 6z}] $
$= 5x - [4y - {4x + 7z - 7y}] $
$= 5x - [4y - 4x - 7z + 7y] $
$= 5x - [11y - 4x - 7z] $
$= 5x - 11y + 4x + 7z $
$= 9x - 11y + 7z$
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