Sure, let's break it down step by step:
1. Start with the given expression:
[tex]\[
-4x^2 + 2x - 5(1 + x)
\][/tex]
2. Distribute the [tex]\(-5\)[/tex] across the terms inside the parentheses:
[tex]\[
-5(1 + x) = -5 \cdot 1 - 5 \cdot x = -5 - 5x
\][/tex]
3. Substitute this back into the original expression:
[tex]\[
-4x^2 + 2x - 5 - 5x
\][/tex]
4. Combine like terms:
[tex]\[
-4x^2 + 2x - 5x - 5
\][/tex]
[tex]\[
= -4x^2 - 3x - 5
\][/tex]
So, the expression equivalent to the given expression is:
[tex]\[
-4x^2 - 3x - 5
\][/tex]
Fill in the boxes as follows:
[tex]\[
\boxed{-4x^2 + \boxed{-3} x + \boxed{-5}}
\][/tex]
