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Let's solve each of the options and see which one simplifies to \( 4x - 3 \).

### Option 1: 
\[ -2x + 6x - 8 - 5 \]

Simplify:
\[
-2x + 6x = 4x
\]
\[
-8 - 5 = -13
\]
Thus, the expression simplifies to:
\[
4x - 13
\]
This is not equal to \( 4x - 3 \).

### Option 2: 
\[ 15 + 7x - 3x - 12 \]

Simplify:
\[
7x - 3x = 4x
\]
\[
15 - 12 = 3
\]
Thus, the expression simplifies to:
\[
4x + 3
\]
This is not equal to \( 4x - 3 \).

### Option 3: 
\[ 9x^2 + 4 - 5x^2 - 7 \]

Simplify:
\[
9x^2 - 5x^2 = 4x^2
\]
\[
4 - 7 = -3
\]
Thus, the expression simplifies to:
\[
4x^2 - 3
\]
This is not equal to \( 4x - 3 \), since the degree of the polynomial is different.

### Option 4: 
\[ 5x - 2 - x - 1 \]

Simplify:
\[
5x - x = 4x
\]
\[
-2 - 1 = -3
\]
Thus, the expression simplifies to:
\[
4x - 3
\]
This matches \( 4x - 3 \).

### Conclusion:
The correct answer is **Option 4: \( 5x - 2 - x - 1 \)**.

Do you need more details or have any questions about this solution?

Here are five related questions:
1. How do you simplify expressions with variables?
2. What is the degree of a polynomial and how does it affect simplification?
3. Can you explain how like terms are combined in algebra?
4. Why does Option 3 not simplify to \(4x - 3\)?
5. How do constants affect the result when simplifying an expression?

**Tip**: Always group like terms together (terms with the same variable or constant) before simplifying.

Which of the following expressions simplifies to 4x - 3?

Learn how to simplify algebraic expressions by combining like terms. This problem covers simplifying expressions like -2x + 6x - 8 - 5 and determining which one equals 4x - 3. Suitable for students in Grades 6-8.

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