Answer:
Option (b) is correct
The simplified form of given expression
is 34x - 107.
Explanation:
Given expression
![5+2\{x-4[3x+7(2-x)]\}](https://img.qammunity.org/2017/formulas/mathematics/high-school/q32tzybvsbbskvbls9nge3oz1bag0ab6fd.png)
We have to evaluate the value of given expression
Consider the given expression
![5+2\{x-4[3x+7(2-x)]\}](https://img.qammunity.org/2017/formulas/mathematics/high-school/q32tzybvsbbskvbls9nge3oz1bag0ab6fd.png)
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)]\}](https://img.qammunity.org/2017/formulas/mathematics/high-school/gtt59r69i1bphedsgx79oaww1j3diq0edw.png)
Solving further, we have,

Solving further, we have,

Simplify, we get,

Thus, the simplified form of given expression
is 34x - 107.