
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 $f(x)$ be a function with its derivative $f'(x)$, where $x \in \mathbb{R}$. Given that $f(0) = 2020$ and $f'(x) = f(x) - 2$, find $f(x) =$ ____ and determine the solution set of $f(x) + 4034 > 2f'(x)$ as ____.

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