Identify the substance that is oxidized and the substance that is reduced in the following reaction

Identify the substance that is oxidized and the substance that is reduced in the following reaction and identify the oxidizing agent and the reducing agent:

Cl2 + 2 KI = 2KCl + I2

Cl2 + 2 KI -----------> 2KCl + I2
0........+1 -1...............+1 -1....0

I (Iodine) went from -1 to 0, and therefore, it is oxidized, which also makes it the reducing agent.
Cl (Chlorine) went from 0 to -1, so it is reduced, which also makes it the oxidizing agent.

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