
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
There is a four-digit positive integer whose thousand's place is 2. If the digit 2 is moved to the unit's place, the new number formed is 66 greater than twice the original number. Let x be the original number in the units and tens places. Express the original number as 2000 + 100x + 10y + 2, and the new number formed as 2000 + 100x + 2 + 10y.

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