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If you would like to simplify 5 + 2{x - 4[3x + 7(2 - x)]}, you can do this using the following steps:

5 + 2{x - 4[3x + 7(2 - x)]} = 5 + 2{x - 4[3x + 7 * 2 - 7x]} = 5 + 2{x - 4[-4x + 14]} = 5 + 2{x - 4 * (-4)x + (-4) * 14} = 5 + 2{x + 16x - 56} = 5 + 2x + 2 * 16x - 56 * 2 = 5 + 2x + 32x - 112 = 34x - 107

The correct result would be
34x - 107.

Answer:

Option (b) is correct

The simplified form of given expression [tex]5+2\{x-4[3x+7(2-x)]\}[/tex] is 34x - 107.

Step-by-step explanation:

Given expression [tex]5+2\{x-4[3x+7(2-x)]\}[/tex]

We have to evaluate the value of given expression

Consider the given expression [tex]5+2\{x-4[3x+7(2-x)]\}[/tex]

Apply PEDMAS rules,

Where P denoted parenthesis

E denotes exponents,

M denotes multiplication,

D denotes division,

A denotes addition,

S denotes subtraction.

[tex]\Rightarrow 5+2\{x-4[3x+14-7x)]\}[/tex]

Solving further, we have,

[tex]\Rightarrow 5+2\{x-12x-56+28x\}[/tex]

Solving further, we have,

[tex]\Rightarrow 5+2x-24x-112+56x[/tex]

Simplify, we get,

[tex]\Rightarrow 34x-107[/tex]

Thus, the simplified form of given expression [tex]5+2\{x-4[3x+7(2-x)]\}[/tex] is 34x - 107.