
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The graph of $y = g(x)$, which consists of five line segments, is shown in blue. The graph goes through the points (-4, -6), (-2, -2), (-1, -3), (1, 1), (2, 0), and (4, 4).

What is the sum of the x-coordinates of all points where $g(x) = x + 2$?

Present the answer in LaTex format: \boxed{Your answer}
user