Part 1: Evaluate the limit.
Evaluate the following limit by simplifying the expression (first answer box) and then evaluating the limit (second answer box).
$$ \lim_{x \to 0} x \left( 11 + \frac{5}{x} \right) = \lim_{x \to 0} \boxed{\phantom{11x+5}} = \boxed{\phantom{5}} $$
Note: In your written solution, you should write the limit statement $$ \lim_{x \to 0} $$ in every step except the last one, where the limit is finally evaluated.