
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
Given a graph with five line segments, find the sum of the \(x\)-coordinates where the line segments intersect the line \(y = 1.5\). The line segments, in sequence, are:
1. From \((-4, -5)\) to \((-2, 0)\)
2. From \((-2, 0)\) to \((-1, -1)\)
3. From \((-1, -1)\) to \((1, 3)\)
4. From \((1, 3)\) to \((2, 2)\)
5. From \((2, 2)\) to \((4, 6)\)

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