To simplify the given expression [tex]\(-4x^2 + 2x - 5(1 + x)\)[/tex], we need to follow these steps:
1. Distribute the [tex]\(-5\)[/tex] through the parentheses:
[tex]\[
-4x^2 + 2x - 5 \cdot 1 - 5 \cdot x
\][/tex]
2. Simplify the terms:
[tex]\[
-4x^2 + 2x - 5 - 5x
\][/tex]
3. Combine like terms:
- Combine [tex]\(2x\)[/tex] and [tex]\(-5x\)[/tex]:
[tex]\[
2x - 5x = -3x
\][/tex]
- Therefore, we get:
[tex]\[
-4x^2 - 3x - 5
\][/tex]
So, the equivalent expression is:
[tex]\[
\boxed{-4} x^2 + \boxed{-3} x + \boxed{-5}
\][/tex]
