A.\({d_1}:\,\,\dfrac{{x + 7}}{2} = \dfrac{y}{2} = \dfrac{{z + 12}}{1}\)
B.\({d_2}:\,\,\dfrac{{x - 1}}{2} = \dfrac{{y - 2}}{2} = \dfrac{{z - 4}}{1}\)
C.\({d_3}:\dfrac{x}{2} = \dfrac{y}{2} = \dfrac{z}{1}\)
D.\({d_4}:\,\,\dfrac{{x - 5}}{2} = \dfrac{{y - 3}}{2} = \dfrac{{z - 12}}{1}\)

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