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To determine which expression simplifies to \( 4x^2 - 3x^2 + 5x - 24 \), we first simplify the original expression.
1. Combine like terms:
\[
4x^2 - 3x^2 = (4 - 3)x^2 = 1x^2 = x^2
\]
So the expression simplifies to:
\[
x^2 + 5x - 24
\]
Now we can factor \( x^2 + 5x - 24 \). We are looking for two numbers that multiply to \(-24\) (the constant term) and add to \(5\) (the coefficient of the linear term).
The factors of \(-24\) that add up to \(5\) are \(8\) and \(-3\). Therefore, we can factor the quadratic as:
\[
(x + 8)(x - 3)
\]
Now, we can compare this with the given options:
1. \((x + 8)(x - 3)\) - **Matches**
2. \((x + 6)(x - 4)\)
3. \(4x(x - 6)\)
4. \(2(x - 12)\)
Thus, the expression that simplifies to the same form as \( 4x^2 - 3x^2 + 5x - 24 \) is:
\[
\boxed{(x + 8)(x - 3)}
\]