To distribute the minus sign outside the parentheses in the expression \(-(-5.5w + x) - 4\), we first apply the distributive property.
Distributing the minus sign gives:
\[ -(-5.5w) - (x) - 4 \]
This simplifies to:
\[ 5.5w - x - 4 \]
So, the equivalent expression is:
\[ 5.5w - x - 4 \]