
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) = 4sin( $$\frac {π}{3}-x$$)cos( $$\frac {π}{6}-x$$) + 4$$\sqrt {3}$$cos(x)cos( $$\frac {π}{2}+x$$).
(1) Find the monotonically decreasing interval of the function f(x);
(2) In △ABC, the sides opposite to angles A, B, C are a, b, c respectively. If f(A) = -3 and b + c = 2a, find angle B.

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