The equation \( 3(x + 8) = 3x + 24 \) is already balanced. Here's why:

### Step-by-step Explanation:
1. **Distribute on the left-hand side:**
   \[
   3(x + 8) = 3x + 24
   \]
   Multiply \( 3 \) by both \( x \) and \( 8 \):
   \[
   3x + 24 = 3x + 24
   \]

2. **Simplify both sides:**
   The equation becomes:
   \[
   3x + 24 = 3x + 24
   \]

Since both sides of the equation are equal, this is an **identity**. Therefore, the equation is true for all values of \( x \).

### Conclusion:
The solution is that **any value of \( x \)** will satisfy the equation. This is called an **identity equation**.

Do you want more details on how identity equations work, or have any other questions?

Here are some related questions you might find helpful:

1. What are the different types of equations (identity, conditional, and inconsistent)?
2. How do you solve more complex identity equations?
3. Can you explain how to identify whether an equation has no solution?
4. What are some real-life applications of identity equations?
5. How do you solve quadratic identity equations?

**Tip:** When simplifying equations, always check if both sides are identical to identify if it's an identity equation.

Understand how to solve the linear equation 3(x + 8) = 3x + 24 by applying the distributive property and simplifying both sides. This equation results in an identity, meaning it is true for all values of x. Suitable for students in Grades 6-8.

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