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Removal of Brackets

Simplify : 37...

Question

Simplify : $37 x - [5 x + {28 x - (19 x - 7 x)}]$

A

$- 16 x$

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B

$14 x$

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C

$16 x$

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D

$- 14 x$

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Solution

The correct option is C
$16 x$

Given: $37 x - [5 x + {28 x - (19 x - 7 x)}]$

= $37 x - [5 x + {28 x - 12 x}]$ [Removing the innermost bracket ( )]

= $37 x - [5 x + 16 x]$ [Removing braces { }]

= $37 x - 21 x$

= $16 x$

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