
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 \( y = g(x) \) consists of five line segments and is shown as follows: from \( (-5,-3) \) to \( (-3,0) \), then to \( (-1,-3) \), to \( (2,3) \), to \( (3,2) \), and finally to \( (5,4) \). Determine the sum of all \( x \)-coordinates of points where \( g(x) = x + 2 \).

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