
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
Han Solo has 25 pieces of cherry gum and 40 pieces of grape gum. Some pieces are loose and others are in complete packs, with each pack containing exactly $x$ pieces of gum. If Han Solo loses two packs of cherry gum, then the ratio of the number of pieces of cherry gum he has to the number of pieces of grape gum will be exactly the same as if he finds 4 packs of grape gum. Find $x$.

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