
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 are four numbers whose sum is 45. When 2 is added to the first number, 2 is subtracted from the second number, the third number is multiplied by 2, and the fourth number is divided by 2, the results are all the same. What were these four numbers originally?

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