To simplify the given expression:
[tex]\[
-4x^2 + 2x - 5(1 + x)
\][/tex]
1. First, distribute the [tex]\(-5\)[/tex] inside the parentheses:
[tex]\[
-5(1 + x) = -5 - 5x
\][/tex]
2. Substitute this back into the original expression:
[tex]\[
-4x^2 + 2x - 5 - 5x
\][/tex]
3. Combine like terms:
[tex]\[
-4x^2 + (2x - 5x) - 5
\][/tex]
4. Simplify the combined terms:
[tex]\[
-4x^2 - 3x - 5
\][/tex]
So, the expression equivalent to the given expression is:
[tex]\[
\boxed{-4} x^2 + \boxed{-3} x + \boxed{-5}
\][/tex]
