Given that the polynomial \( P(x) = x^4 + 2x^3 + 5x^2 + 8x + 10 \) has roots \( \alpha, \beta, \gamma, \delta \), and it is known that \(\alpha\) and \(\beta\) are complex conjugates, and \(\gamma\) and \(\delta\) are also complex conjugates. Determine the value of \(\alpha + \beta\). Let's think step by step and output the final answer within \boxed{}.
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