Select the correct answer.

Simplify:

[tex]\[ (8x + 5) + (4x + 6) \][/tex]

A. [tex]\[4x - 11\][/tex]
B. [tex]\[4x + 1\][/tex]
C. [tex]\[12x - 1\][/tex]
D. [tex]\[12x + 11\][/tex]



Answer :

To simplify the expression [tex]\((8x + 5) + (4x + 6)\)[/tex], follow these steps:

1. Combine like terms involving x:
[tex]\[ 8x + 4x \][/tex]
Adding these together, you get:
[tex]\[ 12x \][/tex]

2. Combine the constant terms:
[tex]\[ 5 + 6 \][/tex]
Adding these together, you get:
[tex]\[ 11 \][/tex]

3. Combine the results from steps 1 and 2:
[tex]\[ 12x + 11 \][/tex]

So, the simplified expression is:
[tex]\[ 12x + 11 \][/tex]

Now, looking at the given multiple-choice options, the correct answer is:
D. [tex]\(12x + 11\)[/tex]

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