
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
Dongguan Xunda Transportation Company transports a batch of goods from Qingxi, Dongguan to Guangzhou, and then transports another batch of goods from Guangzhou to Shenzhen. If the profit from transporting goods along this route from Qingxi to Shenzhen is 11,560 yuan, where the profit per truck from Qingxi to Guangzhou, after deducting other expenses, is 480 yuan, and the charge from Guangzhou to Shenzhen is a profit of 520 yuan per truck. When the number of trucks increases by 1, the profit decreases by 20 yuan. There are $x$ trucks participating in the transportation of goods.
(1) Please express the profit $P$ from Guangzhou to Shenzhen as an algebraic expression in terms of $x$;
(2) Find the value of $x$.

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