Answer :
To simplify the given expression [tex]\((2x + 9) + (11x - 4)\)[/tex], we need to combine like terms step-by-step. Here’s the detailed process:
1. Identify the like terms:
- The terms involving [tex]\(x\)[/tex] are [tex]\(2x\)[/tex] and [tex]\(11x\)[/tex].
- The constant terms are [tex]\(9\)[/tex] and [tex]\(-4\)[/tex].
2. Combine the coefficients of the [tex]\(x\)[/tex] terms:
- [tex]\(2x + 11x\)[/tex] simplifies to [tex]\( (2 + 11)x = 13x \)[/tex].
3. Combine the constant terms:
- [tex]\(9 - 4\)[/tex] simplifies to [tex]\( 5 \)[/tex].
So, after combining the like terms, the expression simplifies to:
[tex]\[ 13x + 5 \][/tex]
Therefore, the correct answer is:
A. [tex]\(13x + 13\)[/tex]
1. Identify the like terms:
- The terms involving [tex]\(x\)[/tex] are [tex]\(2x\)[/tex] and [tex]\(11x\)[/tex].
- The constant terms are [tex]\(9\)[/tex] and [tex]\(-4\)[/tex].
2. Combine the coefficients of the [tex]\(x\)[/tex] terms:
- [tex]\(2x + 11x\)[/tex] simplifies to [tex]\( (2 + 11)x = 13x \)[/tex].
3. Combine the constant terms:
- [tex]\(9 - 4\)[/tex] simplifies to [tex]\( 5 \)[/tex].
So, after combining the like terms, the expression simplifies to:
[tex]\[ 13x + 5 \][/tex]
Therefore, the correct answer is:
A. [tex]\(13x + 13\)[/tex]
