
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 \( y=g(x) \), consisting of six line segments, is shown below. Find the sum of the \( x \)-coordinates of all points where \( g(x) = x + 2 \). The graph's vertices are at \((-5, -6)\), \((-3, -2)\), \((-1, -3)\), \((1, 3)\), \((3, 2)\), \((4, 3)\), and \((6, 7)\).

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