
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-1)<sup>3</sup> - $\frac{1}{x-1}$ and g(x) = -x + m, if the sum of the x-coordinates of the intersection points of their graphs is 2, find the value of m.

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