-4•(5+4x)

To simplify the expression \(-4 \cdot (5 + 4x)\), you will apply the distributive property, which states that \(a(b + c) = ab + ac\).

Here's the step-by-step simplification:

1. Distribute \(-4\) to both terms inside the parentheses: \[ -4 \cdot 5 + (-4) \cdot (4x) \]

2. Calculate each term: \[ -20 - 16x \]

Thus, the simplified expression is: \[ -20 - 16x \]