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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 = 3.994 2.001x = 3.994 Divide each side by '2.001'. x = 1.996001999 Simplifying x = 1.996001999
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