To simplify the expression [tex]\((2x + 9) + (11x - 4)\)[/tex], we'll follow these steps:
1. Combine like terms involving [tex]\(x\)[/tex]:
- The terms involving [tex]\(x\)[/tex] are [tex]\(2x\)[/tex] and [tex]\(11x\)[/tex].
- Add these terms: [tex]\(2x + 11x = 13x\)[/tex].
2. Combine the constant terms:
- The constant terms are [tex]\(9\)[/tex] and [tex]\(-4\)[/tex].
- Add these constants: [tex]\(9 - 4 = 5\)[/tex].
So, by combining the like terms and constants, the simplified form of the expression is:
[tex]\[ 13x + 5 \][/tex]
Thus, the correct answer is:
[tex]\[ \boxed{13x + 5} \][/tex]
So option C is the correct answer.
