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Simplifying 0.1666(12 + -6x) = 5(x + 4) (12 * 0.1666 + -6x * 0.1666) = 5(x + 4) (1.9992 + -0.9996x) = 5(x + 4) Reorder the terms: 1.9992 + -0.9996x = 5(4 + x) 1.9992 + -0.9996x = (4 * 5 + x * 5) 1.9992 + -0.9996x = (20 + 5x) Solving 1.9992 + -0.9996x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1.9992 + -0.9996x + -5x = 20 + 5x + -5x Combine like terms: -0.9996x + -5x = -5.9996x 1.9992 + -5.9996x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 1.9992 + -5.9996x = 20 + 0 1.9992 + -5.9996x = 20 Add '-1.9992' to each side of the equation. 1.9992 + -1.9992 + -5.9996x = 20 + -1.9992 Combine like terms: 1.9992 + -1.9992 = 0.0000 0.0000 + -5.9996x = 20 + -1.9992 -5.9996x = 20 + -1.9992 Combine like terms: 20 + -1.9992 = 18.0008 -5.9996x = 18.0008 Divide each side by '-5.9996'. x = -3.000333356 Simplifying x = -3.000333356
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