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Addition and Subtraction of Algebraic Expression

Simplify: 3x...

Question

Simplify: $3 x - [5 y - {6 y + 2 (10 y - x)}]$

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Solution

$3 x - [5 y - {6 y + 2 (10 y - x)}]$
$= 3 x - [5 y - {6 y + 20 y - 2 x}]$
$= 3 x - [5 y - 6 y - 20 y + 2 x]$
$= 3 x - [- 21 y + 2 x]$
$= 3 x + 21 y - 2 x$
$= x + 21 y$

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