
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
Let x be the total royalties for the novel, and let y be the amount of tax paid, where y = 420. Given that for x ≤ 800, y = 0; for 800 < x ≤ 4000, y = 0.14(x - 800); for x > 4000, y = 0.11x. Determine the value of x.

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