
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
There are three types of products, A, B, and C. If you buy 2 pieces of product A, 3 pieces of product B, and 1 piece of product C, it will cost a total of 295 yuan. If you buy 4 pieces of product A, 3 pieces of product B, and 5 pieces of product C, it will cost a total of 425 yuan. How much will it cost to buy 1 piece of each of the three products?

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