The value of $f(3)$ is $33$.

Would you like further details or have any questions? Here are five related questions to extend your understanding:

1. What is the significance of the absolute value in this function?
2. How would you calculate $f(-3)$ for the same function?
3. How does the function behave as $x$ increases or decreases?
4. What happens to $f(x)$ if the absolute value were removed?
5. Can you rewrite the function without the absolute value for $x > -8$?

Tip: The absolute value function, $|x|$, always returns a non-negative value regardless of the sign of $x$.