To do this, we substitute $x = 2$ into the equation for the curve:
$y = (2)^2 - 2(2) - 24 = 4 - 4 - 24 = -24$
So the points of intersection are $(2, -24)$.
Now, we need to find the area of the region bounded by the curve, the x-axis, and the lines $x = 2$.
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