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Addition and Subtraction of Algebraic Expression

Simplify the ...

Question

Simplify the algebraic expression: $2 x - [3 y + {5 x - (3 y - 2 x)} - 2]$ .

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Solution

$2 x - [3 y + {5 x - (3 y - 2 x)} - 2]$

$= 2 x - [3 y + {5 x - 3 y + 2 x} - 2]$

$= 2 x - [3 y + 7 x - 3 y - 2]$

$= 2 x - 7 x + 2$

$= - 5 x + 2$

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