A ball with a mass of 2 kg is initially moving to the right with a speed of 3 m/s. It collides with a 5 kg ball moving to the left with a speed of 1 m/s. The balls collide partially elastically: 70% of the initial kinetic energy of the system is conserved in the collision. Find the final velocity of each ball. The balls move only along the x-axis. Show your work.
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