Section A of the image contains simplification problems. I will go through each of the problems in Section A and provide the solutions.

### 1. \( 4x - 3(2x - 4) \)
**Solution:**
\[
4x - 3(2x - 4) = 4x - 6x + 12 = -2x + 12
\]
The simplified expression is \(-2x + 12\).

### 2. \( 6(2x + 3) - 5(3x + 4) \)
**Solution:**
\[
6(2x + 3) - 5(3x + 4) = 12x + 18 - 15x - 20 = -3x - 2
\]
The simplified expression is \(-3x - 2\).

### 3. \( 8x + 5(2x - 3) - 6x \)
**Solution:**
\[
8x + 5(2x - 3) - 6x = 8x + 10x - 15 - 6x = 12x - 15
\]
The simplified expression is \(12x - 15\).

### 4. \( 4(x - 3) + 3(x + 4) \)
**Solution:**
\[
4(x - 3) + 3(x + 4) = 4x - 12 + 3x + 12 = 7x
\]
The simplified expression is \(7x\).

### 5. \( 2x - 3(x - 2) + 4(2x - 3) \)
**Solution:**
\[
2x - 3(x - 2) + 4(2x - 3) = 2x - 3x + 6 + 8x - 12 = 7x - 6
\]
The simplified expression is \(7x - 6\).

### 6. \( 5(3x + 2) - 4(2x - 3) \)
**Solution:**
\[
5(3x + 2) - 4(2x - 3) = 15x + 10 - 8x + 12 = 7x + 22
\]
The simplified expression is \(7x + 22\).

Would you like details on any of the steps or have any other questions? Here are some related questions to deepen your understanding:

1. How do you simplify expressions with multiple distributive steps?
2. What strategies can help identify like terms in algebraic expressions?
3. Can you think of real-life applications where simplifying algebraic expressions might be useful?
4. How does the distributive property help in expanding algebraic expressions?
5. How would you explain the difference between simplifying and solving an algebraic expression?

**Tip:** Always perform operations inside parentheses first, then apply the distributive property, and finally combine like terms to simplify expressions efficiently.

Explore practice problems on simplifying algebraic expressions with step-by-step solutions. This page covers various algebraic simplification techniques, including the distributive property and combining like terms. Suitable for students in Grades 7-9.

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