Suppose F = (y + 2x, 7x + 4z, 6y + 2x) and S is a surface bounded by C, a circle with radius 3, center at (2, 0, 0), in the plane x = 2, and oriented counterclockwise as viewed from the origin (0, 0, 0). Find the flux of curl(F) across S and then evaluate the circulation F. dr. (Use symbolic notation and fractions where needed.)

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