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Answer:

x = 6

Step-by-step explanation:

AC = 5x - 24

AO = 3

AC and BD bisect each other at point O. This means AC ≅ CO.

So, 2(AO) = AC.

2(3) = 5x - 24

Multiply.

6 = 5x - 24

Combine the constants.

30 = 5x

Divide by 5.

x = 6

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