To solve for \( x \) in the equation
\[ -6.29(x + 7.85) = -19.499, \]
follow these steps:
- Divide both sides by \(-6.29\):
\[ x + 7.85 = \frac{-19.499}{-6.29}. \]
Calculating the right side:
\[ x + 7.85 = \frac{19.499}{6.29} \approx 3.096. \]
- Now, subtract \( 7.85 \) from both sides:
\[ x = 3.096 - 7.85. \]
Calculating the result:
\[ x \approx 3.096 - 7.850 = -4.754. \]
Thus, the solution is
\[ \boxed{-4.754}. \]