
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
In the coordinate plane, points \( A = (-3, -4) \) and \( C = (1.5, -2) \) are given. Find the minimum length of the broken line \( A B C \), where point \( B \) lies on the horizontal coordinate line \( O x \). If the answer is a fractional number, it should be written as a decimal with a dot, for example, "0.15".

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