AMC 10A 2006 Problem 6

Past Contests AMC 10 2006 Part A
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1

What non-zero real value for x satisfies (7 x)^{14}=(14 x)^{7} ?

Answer Choices
A. \dfrac{1}{7}
B. \dfrac{2}{7}
C. 1
D. 7
E. 14