
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 $(\sqrt{x}- \frac{2}{x})^{n}$, the binomial coefficients of the 4th and 9th terms in its expansion are equal,

(1) Find $n$;

(2) Find the coefficient of the $x$ term in the expansion.

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