Verified Answer :

Neuron

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 \(5+2\{x-4[3x+7(2-x)]\}\) is 34x - 107.

Step-by-step explanation:

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

We have to evaluate the value of given expression

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

Apply PEDMAS rules,

Where P denoted parenthesis

E denotes exponents,

M denotes multiplication,

D denotes division,

A denotes addition,

S denotes subtraction.

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

Solving further, we have,

\(\Rightarrow 5+2\{x-12x-56+28x\}\)

Solving further, we have,

\(\Rightarrow 5+2x-24x-112+56x\)

Simplify, we get,

\(\Rightarrow 34x-107\)

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

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