
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
Chewbacca has 25 pieces of cherry gum and 35 pieces of grape gum. Some of the pieces are in complete packs, and others are loose. Each complete pack has exactly $x$ pieces of gum. If Chewbacca loses two packs of cherry gum and finds three packs of grape gum, then the ratio of cherry to grape gum will be the same as if he instead loses one pack of cherry gum and finds five packs of grape gum. Find $x$.

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