
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
Based on the following problem statements, set up unknown equations and determine whether they are linear equations with one variable.  
(1) Two sections of the same length are cut from a 60cm wooden stick, leaving a 10cm short stick. How long is each cut section?  
(2) Xiao Hong tells Xiao Min, "I was born in June. Twice my age plus 10 days equals the total number of days in the month I was born. Can you guess how old I am?"

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