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Simplifying 0.5(4x + 8) = 0.333(3x + -6) Reorder the terms: 0.5(8 + 4x) = 0.333(3x + -6) (8 * 0.5 + 4x * 0.5) = 0.333(3x + -6) (4 + 2x) = 0.333(3x + -6) Reorder the terms: 4 + 2x = 0.333(-6 + 3x) 4 + 2x = (-6 * 0.333 + 3x * 0.333) 4 + 2x = (-1.998 + 0.999x) Solving 4 + 2x = -1.998 + 0.999x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.999x' to each side of the equation. 4 + 2x + -0.999x = -1.998 + 0.999x + -0.999x Combine like terms: 2x + -0.999x = 1.001x 4 + 1.001x = -1.998 + 0.999x + -0.999x Combine like terms: 0.999x + -0.999x = 0.000 4 + 1.001x = -1.998 + 0.000 4 + 1.001x = -1.998 Add '-4' to each side of the equation. 4 + -4 + 1.001x = -1.998 + -4 Combine like terms: 4 + -4 = 0 0 + 1.001x = -1.998 + -4 1.001x = -1.998 + -4 Combine like terms: -1.998 + -4 = -5.998 1.001x = -5.998 Divide each side by '1.001'. x = -5.992007992 Simplifying x = -5.992007992
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