To simplify the given expression [tex]\( 3x + (8x - 16) \)[/tex], follow these steps:
1. Start with the expression [tex]\( 3x + (8x - 16) \)[/tex].
2. Distribute the terms inside the parentheses:
[tex]\[
3x + 8x - 16
\][/tex]
3. Combine the like terms [tex]\( 3x \)[/tex] and [tex]\( 8x \)[/tex] to get:
[tex]\[
11x
\][/tex]
4. So the expression becomes:
[tex]\[
11x - 16
\][/tex]
Therefore, the simplified form of the expression is [tex]\( 11x - 16 \)[/tex].
Hence, the correct answer is [tex]\( \boxed{11x - 16} \)[/tex].