
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) = $$\begin{cases} x^{2}+2x, & x\leq 0 \ f(x-1)+1, & x>0 \end{cases}$$, find the sum of all solutions to the equation f(x) = x - $\frac {1}{5}$ for x in the interval [0, 100].

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