
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
A graph \( y = f(x) \) is composed of connected line segments shown in the diagram below. The function consists of segments joining the points \((-4, -5)\) to \((-2, -1)\), \((-2, -1)\) to \((-1, -2)\), \((-1, -2)\) to \( (1, 2)\), \( (1, 2)\) to \( (2, 1)\), and \( (2, 1)\) to \( (4, 5)\). Determine the sum of the \( x \)-coordinates of all points where \( f(x) = x + 2 \).

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