
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
After the implementation of the national "double reduction" policy, a school carried out a variety of colorful club activities. A classmate signed up to participate in two clubs, calligraphy and chess. The class monitor went to the mall to buy brushes and chess sets for the students participating in the clubs. It is known that buying $5$ brushes and $12$ chess sets cost a total of $315$ yuan, and buying $8$ brushes and $6$ chess sets cost a total of $240$ yuan. Find the unit price of each brush and each chess set.

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