
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
Kolya bought 14 pencils and 3 erasers for 107 rubles. The price of a pencil differs from the price of an eraser by no more than 5 rubles, and both items cost an integer number of rubles. Petya bought 1 eraser and 1 pencil; how much did he pay?

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