If the domain of the function \( f(x) = \sin^{-1}\!\left(\dfrac{5 - x}{3 + 2x}\right) + \dfrac{1}{\log\_{e}(10 - x)} \) is \( (-\infty, \alpha] \cup [\beta, \gamma) - \{\delta\} \), then \( 6(\alpha + \beta + \gamma + \delta) \) is equal to:
\( 70 \)
\( 68 \)
\( 67 \)
\( 66 \)