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The outer tub is plastic so if you're getting rust then it would be coming from the inner basket or the center shaft area where the transmission goes up through the washer. You can try to clean out the washer using a product called Washer Magic which you can pick up at your Lowe's store, but other than that a rusting basket or transmission shaft would be about as expensive as the entire washer so it likely wouldn't be worth fixing.
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You would have to remove the inner basket and just visually inspect to see if the inner basket itself has rust forming on it, or if the rust is coming from the center shaft area. This requires a specialty tool called a "Spanner Wrench" to remove the spanner nut below the agitator.
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