Solve the following math problem efficiently and clearly:

- For simple problems (2 steps or fewer):
Provide a concise solution with minimal explanation.

- For complex problems (3 steps or more):
Use this step-by-step format:

## Step 1: [Concise description]
[Brief explanation and calculations]

## Step 2: [Concise description]
[Brief explanation and calculations]

...

Regardless of the approach, always conclude with:

Therefore, the final answer is: $oxed{answer}$. I hope it is correct.

Where [answer] is just the final number or expression that solves the problem.

Problem: Four points $B,$ $A,$ $E,$ and $L$ are on a straight line, as shown. The point $G$ is off the line so that $\angle BAG = 120^\circ$ and $\angle GEL = 80^\circ.$ If the reflex angle at $G$ is $x^\circ,$ then what does $x$ equal?

[asy]
draw((0,0)--(30,0),black+linewidth(1));
draw((10,0)--(17,20)--(15,0),black+linewidth(1));
draw((17,16)..(21,20)..(17,24)..(13,20)..(14.668,16.75),black+linewidth(1));
draw((17,16)..(21,20)..(17,24)..(13,20)..(14.668,16.75),Arrows);
label("$B$",(0,0),S);
label("$A$",(10,0),S);
label("$E$",(15,0),S);
label("$L$",(30,0),S);
label("$G$",(17,20),N);
label("$120^\circ$",(10,0),NW);
label("$80^\circ$",(15,0),NE);
label("$x^\circ$",(21,20),E);
[/asy]
user