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Solve the absolute value equation. -2|x - 18| = -18 A. x = -27 B. no solution C. x = 9 and x = 27 D. x = 27

7. Solve the absolute value equation. -2|x - 18| = -18
A. x = -27
B. no solution
C. x = 9 and x = 27
D. x = 27

Answer

To solve the equation -2|x - 18| = -18, divide both sides by -2 to get |x - 18| = 9. This gives two equations: x - 18 = 9 and x - 18 = -9.

For x - 18 = 9, solve for x: x = 27.
For x - 18 = -9, solve for x: x = 9.

Therefore, the solutions are x = 9 and x = 27. The correct answer is C. x = 9 and x = 27.

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