
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
Given a product's cost price is $x$ yuan, and it is marked up by $30\%$ of the cost price, then sold at a $10\%$ discount, as a result, a profit of $34$ yuan is made on each item, find the cost price of this product per item. Let the cost price of this product per item be $x$ yuan, then the equation can be written as $0.9 \left(1+30\%\right)x - x = 34$.

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