
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 that the domain of the function $f(x)$ and its derivative $f'(x)$ is $R$, and $f(x-1)$ is an odd function, ${f'}(2-x) + {f'}(x) = 2$, and ${f'}(-1) = 2$, find the value of $\sum_{i=1}^{2024}{f'(2i-1)}$.

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