
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 vectors $\overrightarrow {m}$=(2sinx, $\sqrt {3}$cos<sup>2</sup>x) and $\overrightarrow {n}$=(cosx, 2), and the function f(x) = $\overrightarrow {m}$•$\overrightarrow {n}$-\ $\sqrt {3}$.
(I) Find the smallest positive period of the function f(x);
(II) In triangle ABC, the lengths of the sides opposite to angles A, B, and C are a, b, and c, respectively, with a=7. If acute angle A satisfies f($\frac {A}{2}$-$\frac {π}{6}$)=$\sqrt {3}$, and sinB + sinC = $\frac {13\sqrt {3}}{14}$, find the area of triangle ABC.

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