f(x) is a function such that f(x) + 3f(8 - x) = x for all real numbers x. Find the value of f(2). Select the correct option:
A) 5
B) 4
C) 3
D) 2
E) 1
f(x) + 3f(8 - x) = x : given   f(2) + 3f(6) = 2 : x = 2 above   f(6) + 3f(2) = 6 : x = 6 above   f(6) = 6 - 3f(2) : solve equation C for f(6)   f(2) + 3(6 - 3f(2)) = 2 : substitute   f(2) = 2 : solve above equation.   correct answer is 2) 2
<result>D</result>
f(x) is a function such that f(x) + 3f(8 - x) = x for all real numbers x. Find the value of f(2).