The mean of the numbers 0, x + 2, 3x + 6, and 4x + 8 is 4, find the value of x.
Mean = \(\frac{(0 + x + 2 + 3x + 6 + 4x + 8)}{4}\) = 4.
Simplify numerator: 8x + 16.
So \(\frac{(8x + 16)}{4}\) = 4.
8x + 16 = 16.
8x = 0.
x = 0.
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