Select the correct answer.

What is the simplified form of this expression?

[tex]\[3x + (8x - 16)\][/tex]

A. [tex]\[-5x - 16\][/tex]

B. [tex]\[11x + 16\][/tex]

C. [tex]\[-5x\][/tex]

D. [tex]\[11x - 16\][/tex]



Answer :

To simplify the given expression [tex]\( 3x + (8x - 16) \)[/tex], follow these steps:

1. Distribute the terms inside the parentheses.
[tex]\[ 3x + (8x - 16) = 3x + 8x - 16 \][/tex]

2. Combine the like terms.
[tex]\[ 3x + 8x = 11x \][/tex]

3. Write the final simplified expression.
[tex]\[ 11x - 16 \][/tex]

Therefore, the correct answer is:
[tex]\[ \boxed{11x - 16} \][/tex]

And hence, the correct option is:
[tex]\[ \text{D. } 11x - 16 \][/tex]