
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
Given that teams $X$ and $Y$ are participating in a hockey league, and team $X$ has won $\frac{3}{4}$ of its games and team $Y$ has won $\frac{2}{3}$ of its games, while team $Y$ has won $4$ more games, lost $5$ more games, and drawn $3$ more games than team $X$, determine the number of games played by team $X$.

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