
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
Gabby has 15 gel pens and 24 ink pens. Some of these pens are in complete packs, each containing exactly $x$ pens. If Gabby misplaces one pack of gel pens, then the ratio of the number of gel pens to ink pens matches precisely the ratio when she finds two packs of ink pens. Find $x$.

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