
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 sum below, identical letters represent identical digits, and different letters represent different digits.

$$
\begin{array}{ccc} 
& & X \\
+ & & X \\
& Y & Y \\
\hline Z & Z & Z
\end{array}
$$

What digit is represented by the letter $X$?

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