
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
Pirate Pete and Pirate Paul have a new arrangement for sharing their treasure. Pete, being the captain, says, ``One for me, one for you,'' distributing coins so he gets one and Paul gets one. He then says, ``Two for me, and two for you,'' adding two more coins to his own pile but making Paul's total pile two coins. This sequence continues in similar fashion, with the command, ``Three for me, three for you," and so on, until Pete gives himself `x` more coins and adjusts Paul's pile to `x` coins in total. After all coins are distributed this way, Pete ends up with exactly five times as many coins as Pirate Paul. How many coins do they share in total?

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