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Let’s solve the given problems by expanding and simplifying as instructed.

### Problem c: \( 7 - 6(2x - 3) \)
1. Distribute the \(-6\) to the terms inside the parentheses:
   \[
   7 - 6(2x - 3) = 7 - 12x + 18
   \]

2. Combine like terms (\(7 + 18\)):
   \[
   25 - 12x
   \]

**Final Answer:** \( 25 - 12x \)

---

### Problem e: \( 6 + 5(1 - 2x) \)
1. Distribute the \(5\) to the terms inside the parentheses:
   \[
   6 + 5(1 - 2x) = 6 + 5 - 10x
   \]

2. Combine like terms (\(6 + 5\)):
   \[
   11 - 10x
   \]

**Final Answer:** \( 11 - 10x \)

---

Do you have any questions or want detailed explanations?  
Here are 5 related questions to expand your learning:  
1. How do you handle negative signs during distribution?  
2. Why is combining like terms necessary in simplifying?  
3. How would the result change if there were additional variables?  
4. What happens if parentheses involve a fraction instead of an integer?  
5. Can you apply these steps to expand and simplify \(2x + 3(4x - 5)\)?  

**Tip:** Always distribute multiplication before combining terms to avoid errors.

Expand and then simplify by collecting like terms for: c) 7 - 6(2x - 3) and e) 6 + 5(1 - 2x).

Learn how to expand and simplify algebraic expressions step-by-step. This solution demonstrates how to apply the distributive property and combine like terms for expressions such as 7 - 6(2x - 3) and 6 + 5(1 - 2x). Perfect for Grades 7-8 students.

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