To solve the equation \( 3(x + 1) + 6 = -9 \), follow these steps:

1. **Distribute the 3** across the terms inside the parentheses:
   \[
   3x + 3(1) + 6 = -9
   \]
   Simplifies to:
   \[
   3x + 3 + 6 = -9
   \]

2. **Combine like terms** on the left side:
   \[
   3x + 9 = -9
   \]

3. **Subtract 9 from both sides** to isolate the term with \( x \):
   \[
   3x + 9 - 9 = -9 - 9
   \]
   Simplifies to:
   \[
   3x = -18
   \]

4. **Divide both sides by 3** to solve for \( x \):
   \[
   x = \frac{-18}{3}
   \]
   Simplifies to:
   \[
   x = -6
   \]

So, the solution is \( x = -6 \).

Would you like more details or have any questions?

Here are 5 related questions to practice:

1. Solve \( 4(x - 2) + 5 = 13 \).
2. What is the value of \( x \) in \( 2x + 7 = 3x - 5 \)?
3. How do you solve \( 5(2x + 1) - 3 = 17 \)?
4. Solve the equation \( 7x + 2 = 3x + 18 \).
5. What is the solution for \( 6(x + 3) - 4 = 2x + 14 \)?

**Tip:** Always distribute and combine like terms first before isolating the variable in an equation.

Learn how to solve the equation 3(x + 1) + 6 = -9 step-by-step with detailed explanations. This problem covers algebraic concepts such as solving linear equations, using the distributive property, and combining like terms. Suitable for students in Grades 7-9.

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