Let's solve the equation step by step:

Given:
\[
2x + 3(x + 3) = -(x - 4)
\]

1. **Distribute** the 3 on the left-hand side:
\[
2x + 3x + 9 = -(x - 4)
\]
2. **Simplify** the left-hand side:
\[
5x + 9 = -(x - 4)
\]

3. **Distribute** the negative sign on the right-hand side:
\[
5x + 9 = -x + 4
\]

4. **Move** the terms involving \(x\) to one side and the constants to the other side:
\[
5x + x = 4 - 9
\]
\[
6x = -5
\]

5. **Solve for \(x\)**:
\[
x = \frac{-5}{6}
\]

The solution is:
\[
x = \frac{-5}{6}
\]

Would you like a more detailed explanation on any of these steps?

Here are 5 related questions for further practice:
1. Solve: \( 3x + 2(x - 5) = -(x + 1) \)
2. Solve: \( 4x + 5(x + 2) = -(2x - 3) \)
3. Solve: \( 5(x + 4) + 2 = -(x + 6) \)
4. Solve: \( 6x - 4(x - 2) = -(x - 7) \)
5. Solve: \( 2(3x + 1) + 4 = -(2x + 3) \)

**Tip**: Always simplify both sides of an equation as much as possible before isolating the variable.

Learn how to solve the linear equation 2x + 3(x + 3) = -(x - 4) with a detailed step-by-step solution. This problem covers key algebraic concepts, including the distributive property and solving for x. Suitable for students in Grades 8-10.

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