
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 complete graph of \( y = g(x) \), which consists of five line segments, is shown as follows. (On this graph, the distance between grid lines is \( 1 \)).
- From \((-4, -3)\) to \((-2, -1)\)
- From \((-2, -1)\) to \( (0, 1) \)
- From \( (0, 1) \) to \( (1, 0) \)
- From \( (1, 0) \) to \( (2, 3) \)
- From \( (2, 3) \) to \( (4, 5) \)

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}
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