Four times Four?

Algebra Level 5

For positive integers \(a, b,\) and \(c,\) we define \[x^2 + c = |ax + b|.\]

One member of this family of equations would be \(x^2 + 7 = |12x+20|\), which has the solution set \(\{-9, -3, -1, 13\}\).

Which of the following sets of four is a solution set of an equation of this family?

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