
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 addition equation \( XCV + XXV = CXX \) is true in Roman numerals. In this context, the sum is actually a lettersum, where each letter represents a unique digit from 0 to 9, and each letter consistently represents the same digit each time it appears. Different letters represent different digits, and no number starts with zero.

Given:
\[ XCV + XXV = CXX \]

Find all solutions to this equation and explain how you can be sure you have found every solution.

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