To solve the equation \(-6.29(x + 7.85) = -19.499\), we can follow these steps:
- Start by dividing both sides of the equation by \(-6.29\):
\[ x + 7.85 = \frac{-19.499}{-6.29} \]
Calculating the right-hand side:
\[ \frac{-19.499}{-6.29} = \frac{19.499}{6.29} \approx 3.097 \]
So the equation simplifies to:
\[ x + 7.85 = 3.097 \]
- Next, isolate \(x\) by subtracting \(7.85\) from both sides:
\[ x = 3.097 - 7.85 \]
Calculating this gives:
\[ x \approx 3.097 - 7.85 \approx -4.753 \]
Thus, the solution for \(x\) is:
\[ \boxed{-4.753} \]