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Simplifying 0.5(-4 + 6x) = 0.333x + 0.666(x + 9) (-4 * 0.5 + 6x * 0.5) = 0.333x + 0.666(x + 9) (-2 + 3x) = 0.333x + 0.666(x + 9) Reorder the terms: -2 + 3x = 0.333x + 0.666(9 + x) -2 + 3x = 0.333x + (9 * 0.666 + x * 0.666) -2 + 3x = 0.333x + (5.994 + 0.666x) Reorder the terms: -2 + 3x = 5.994 + 0.333x + 0.666x Combine like terms: 0.333x + 0.666x = 0.999x -2 + 3x = 5.994 + 0.999x Solving -2 + 3x = 5.994 + 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. -2 + 3x + -0.999x = 5.994 + 0.999x + -0.999x Combine like terms: 3x + -0.999x = 2.001x -2 + 2.001x = 5.994 + 0.999x + -0.999x Combine like terms: 0.999x + -0.999x = 0.000 -2 + 2.001x = 5.994 + 0.000 -2 + 2.001x = 5.994 Add '2' to each side of the equation. -2 + 2 + 2.001x = 5.994 + 2 Combine like terms: -2 + 2 = 0 0 + 2.001x = 5.994 + 2 2.001x = 5.994 + 2 Combine like terms: 5.994 + 2 = 7.994 2.001x = 7.994 Divide each side by '2.001'. x = 3.995002499 Simplifying x = 3.995002499
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