
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 tournament in a round-robin format (each team plays against every other team exactly once), $15$ games are planned. How many teams should be invited to participate in the tournament? If $x$ teams are invited to participate, the equation can be written as ____.

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