https://file.aiquickdraw.com/mathbot/file/1724891576406s12wby1n.jpg

I can help you with that! The image contains a set of algebraic equations. I'll solve problems 6 to 8 for you.

**Problem 6:**
\[
7(2x + 1) = 35
\]

**Solution:**
1. Distribute the 7:
   \[
   14x + 7 = 35
   \]
2. Subtract 7 from both sides:
   \[
   14x = 28
   \]
3. Divide by 14:
   \[
   x = 2
   \]

**Problem 7:**
\[
5(x + 4) = 25
\]

**Solution:**
1. Distribute the 5:
   \[
   5x + 20 = 25
   \]
2. Subtract 20 from both sides:
   \[
   5x = 5
   \]
3. Divide by 5:
   \[
   x = 1
   \]

**Problem 8:**
\[
-3(x + 2) = 15
\]

**Solution:**
1. Distribute the -3:
   \[
   -3x - 6 = 15
   \]
2. Add 6 to both sides:
   \[
   -3x = 21
   \]
3. Divide by -3:
   \[
   x = -7
   \]

The solutions are:
- Problem 6: \( x = 2 \)
- Problem 7: \( x = 1 \)
- Problem 8: \( x = -7 \)

Would you like more details or have any other questions?

Here are 5 related questions:
1. What steps are involved in solving an equation involving distribution?
2. How do you solve a linear equation with variables on both sides?
3. How can you check if your solution to an equation is correct?
4. What are common mistakes to avoid when solving algebraic equations?
5. How do you solve equations that include fractions?

**Tip:** Always double-check your solutions by substituting the value back into the original equation to ensure both sides are equal.

Explore how to solve algebraic equations step-by-step with detailed solutions for problems 6 to 8. Covering key concepts like linear equations and the distributive property. Suitable for Grades 6-8 students.

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