Three spheres labeled A, B, and C, each with radius 0.1 m and mass 3 kg, are initially at rest at the following coordinates (all coordinates are in meters):
A: (-2, 7)
B: (19, 3)
C: (7, -5)
The only forces the spheres exert on each other are the normal force when they hit each other, and the gravitational force each sphere exerts on the others due to their masses. There are no other forces.
Let \(x_A\), \(x_B\), and \(x_C\) be the x-coordinates of the three masses after \(10^7\) seconds has elapsed.
Find \(x_A + x_B + x_C\) in meters.