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]