To simplify the expression [tex]\((4x - 6) + (3x + 6)\)[/tex], we need to follow a step-by-step process combining like terms.
1. Start with the original expression:
[tex]\[
(4x - 6) + (3x + 6)
\][/tex]
2. Remove the parentheses by rewriting the expression:
[tex]\[
4x - 6 + 3x + 6
\][/tex]
3. Combine the like terms. Like terms are the terms that contain the variable [tex]\(x\)[/tex] and the constant terms.
- Combine the [tex]\(x\)[/tex]-terms:
[tex]\[
4x + 3x = 7x
\][/tex]
- Combine the constants:
[tex]\[
-6 + 6 = 0
\][/tex]
4. The expression simplifies to:
[tex]\[
7x + 0
\][/tex]
Since [tex]\(7x + 0\)[/tex] is the same as [tex]\(7x\)[/tex], the simplified expression is:
[tex]\[
7x
\][/tex]
Therefore, the correct answer is:
[tex]\[
7x
\][/tex]
