
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 the function f(x) = -x^3 + 3x^2 + 9x - 2, find:
1. The equation of the tangent line to the graph of y = f(x) at the point (0, f(0));
2. The interval(s) where f(x) is decreasing.

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