Not Really Big Power

Algebra Level 3

\[ \begin{cases}{1= \frac {a}{b+c} + \frac {b}{a+c} + \frac {c}{a+b}} \\ \\ {d=\frac {a^2}{b+c} + \frac {b^2}{a+c} + \frac {c^2}{a+b}}\end{cases} \]

Given the system of equations above, what is the value of \(x^d \) for a non-zero real number \(x?\)

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