
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) = $\sqrt {3}$sin2x - 2cos^2x, if the horizontal coordinates of all points on the graph of f(x) are scaled down to $\frac {1}{3}$ of the original, and the vertical coordinates remain unchanged, then the obtained graph is moved up by 1 unit to create the graph of function g(x). If g(x1)•g(x2) = -4, find the possible value of |x1 - x2|.

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