What value or values of x satisfy 2|x + 5.3| = 4.2?

Divide both sides by 2 to get |x + 5.3| = 2.1. The expression inside the absolute value can be 2.1 or −2.1, so x + 5.3 = 2.1 gives x = −3.2, and x + 5.3 = −2.1 gives x = −7.4. Thus, x can equal −3.2 or −7.4, as choice C states.

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