
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
Two basketball teams, X and Y, participate in a tournament with each match resulting in a win or a loss. Team X wins $\frac{3}{4}$ of its games, whereas team Y wins $\frac{2}{3}$ of its games. Also, team Y has won $9$ more games but lost $5$ more games than team X. Determine the total number of games team X has played.

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