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Let's solve the expression step by step. The given expression is:

\[
3(x + 4) - (2x + 7)
\]

### Step 1: Distribute the terms
Distribute the 3 to both terms inside the parentheses:

\[
3(x + 4) = 3x + 12
\]

Now distribute the negative sign (which is the same as multiplying by -1) to both terms in the second set of parentheses:

\[
-(2x + 7) = -2x - 7
\]

### Step 2: Combine like terms
Now combine all the terms:

\[
3x + 12 - 2x - 7
\]

Combine the \(x\)-terms and the constant terms:

\[
(3x - 2x) + (12 - 7) = x + 5
\]

### Final Answer:
The expression simplifies to:

\[
x + 5
\]

Therefore, the correct option is **1. \( x + 5 \)**.

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:
1. How do you distribute when a negative sign is in front of parentheses?
2. What is the process to combine like terms in an algebraic expression?
3. How can this distribution method be applied to equations involving more variables?
4. What happens if there is a coefficient other than 1 or -1 outside the parentheses?
5. Can this simplification method be used for solving quadratic equations?

**Tip:** Always carefully distribute the negative sign to avoid sign errors in simplification.

The expression 3(x + 4) - (2x + 7) is equivalent to

Learn how to simplify the algebraic expression 3(x + 4) - (2x + 7) using the distributive property and combining like terms. Follow the step-by-step solution suitable for Grades 6-8.

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