
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
To organize a basketball league, the format is a single round-robin (each pair of teams plays one game). It is planned to arrange $15$ games. If there are a total of $x$ teams participating in the competition, the equation based on the problem is ____.

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