https://file.aiquickdraw.com/mathbot/file/1725655518712ev90pepn.jpg

Let's go over the questions from the image step by step:

### **Question 62**
The equation provided is:
\[
3(x - 2) = 3x - 6
\]
You are asked if this is true or false.

- Start by expanding the left-hand side:
  \[
  3(x - 2) = 3x - 6
  \]
  This simplifies to:
  \[
  3x - 6 = 3x - 6
  \]
  Both sides are equal, so this equation is **true**.

### **Question 63**
The equation provided is:
\[
-(x - 3) = -x - 3
\]
You are asked if this is true or false.

- Start by expanding the left-hand side:
  \[
  -(x - 3) = -x + 3
  \]
  Now compare with the right-hand side:
  \[
  -x - 3
  \]
  These are not the same, so the equation is **false**.

### **Question 64**
The equation provided is:
\[
3(2x + 2y) = 6x + 6y
\]
You are asked if this is true or false.

- Expand the left-hand side:
  \[
  3(2x + 2y) = 6x + 6y
  \]
  Both sides are identical, so this equation is **true**.

---

Would you like further details or have any questions?

Here are some related questions:
1. How can you simplify equations using the distributive property?
2. What is the general approach to solving linear equations?
3. How do you verify the truth of an equation?
4. What are common mistakes when expanding expressions?
5. How can you apply factoring to simplify expressions?

**Tip:** Always expand both sides of an equation when verifying its truth, so you can compare them directly.

Question 62: Is the equation 3(x - 2) = 3x - 6 true or false?
Question 63: Is the equation -(x - 3) = -x - 3 true or false?
Question 64: Is the equation 3(2x + 2y) = 6x + 6y true or false?

Learn how to verify if equations are true or false using the distributive property. This problem covers key algebraic concepts, including expanding and simplifying equations. Suitable for students in Grades 6-8.

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