To simplify the expression \(-4(2x + 5)\), we will distribute \(-4\) to both terms inside the parentheses:
\[ -4(2x) + (-4)(5) \]
This gives us:
\[ -8x - 20 \]
So the simplified expression is:
\(-8x - 20\)
Among the responses provided, the correct one is:
\((−4×2x)+(−4×5)\)
This one matches the steps I've just detailed.