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To solve the equation \( 3(x + 2) = 9 \) **without distributing the 3**, you can follow these steps:

1. **Isolate the parentheses**: Since the 3 is multiplying the expression \( (x + 2) \), divide both sides of the equation by 3 to eliminate the multiplication.
   \[
   \frac{3(x + 2)}{3} = \frac{9}{3}
   \]
   This simplifies to:
   \[
   x + 2 = 3
   \]

2. **Solve for \(x\)**: Now that you have \( x + 2 = 3 \), subtract 2 from both sides to isolate \(x\).
   \[
   x = 3 - 2
   \]
   \[
   x = 1
   \]

So, the solution is \( x = 1 \).

Would you like further details or explanations? Here are five related questions to help deepen your understanding:

1. How can you verify the solution \(x = 1\) in the original equation?
2. What happens if you distribute the 3 first? Does it give the same result?
3. How would you solve this equation if the coefficient were not a simple number like 3?
4. What is the general approach for solving equations with parentheses and multiplication?
5. Can you apply the same method to more complex expressions like \( 5(2x - 4) = 20 \)?

**Tip**: When solving equations, isolating terms using division is often a faster method than distributing first.

How can you solve 3(x + 2) = 9 without distributing the 3?

Learn how to solve the equation 3(x + 2) = 9 without distributing the 3. This problem focuses on isolating terms through division and solving linear equations. Suitable for students in Grades 6-8.

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