
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 decides to share his treasure with Pirate Paul differently this time. He says, ``One for me, one for you,'' thus starting with one coin each. Then he says, ``Two for me, and two for you,'' increasing his total by two but making Paul's total only two coins. Then he continues, ``Three for me, three for you,'' and so forth, until Pete gives himself $x$ more coins but makes Paul's pile just $x$ coins in total. After distributing all the coins, Pete has exactly five times as many coins as Pirate Paul. How many gold coins do they have in total?

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