
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
In how many distinct ways can I arrange my seven keys on a keychain, if I want to put my house key next to my car key? Two arrangements are considered the same if the keys are in the same order or can be made to be in the same order by reflection or rotation.

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