
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
Suppose three positive integers \( a, \) \( b, \) and \( x \) form a Modified O'Hara Triple \( (a, b, x) \) if \( \sqrt[3]{a} - \sqrt[3]{b} = x. \) Determine \( x \) if \( (27, 8, x) \) is a Modified O'Hara triple.

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