Let's simplify the given expression step-by-step:
1. Start with the given expression:
[tex]\[
-4x^2 + 2x - 5(1 + x)
\][/tex]
2. Distribute the [tex]\(-5\)[/tex] across [tex]\((1 + x)\)[/tex]:
[tex]\[
-5 \cdot 1 + (-5) \cdot x = -5 - 5x
\][/tex]
3. Substitute this back into the original expression:
[tex]\[
-4x^2 + 2x - 5 - 5x
\][/tex]
4. Combine like terms. Combine the [tex]\(2x\)[/tex] and [tex]\(-5x\)[/tex]:
[tex]\[
2x - 5x = -3x
\][/tex]
5. The expression now looks like:
[tex]\[
-4x^2 - 3x - 5
\][/tex]
Therefore, the equivalent expression is:
[tex]\[
-4x^2 - 3x - 5
\][/tex]
So, plugging these values into the boxes:
[tex]\[
-4x^2 + (-3)x + (-5)
\][/tex]
Thus, the completed expression is:
[tex]\[
-4 \quad x^2 \quad -3 \quad x \quad -5
\][/tex]
