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Simplifying 0.5(-4 + 6x) = 0.333x + 0.667(x + 9) (-4 * 0.5 + 6x * 0.5) = 0.333x + 0.667(x + 9) (-2 + 3x) = 0.333x + 0.667(x + 9) Reorder the terms: -2 + 3x = 0.333x + 0.667(9 + x) -2 + 3x = 0.333x + (9 * 0.667 + x * 0.667) -2 + 3x = 0.333x + (6.003 + 0.667x) Reorder the terms: -2 + 3x = 6.003 + 0.333x + 0.667x Combine like terms: 0.333x + 0.667x = 1x -2 + 3x = 6.003 + 1x Solving -2 + 3x = 6.003 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + 3x + -1x = 6.003 + 1x + -1x Combine like terms: 3x + -1x = 2x -2 + 2x = 6.003 + 1x + -1x Combine like terms: 1x + -1x = 0 -2 + 2x = 6.003 + 0 -2 + 2x = 6.003 Add '2' to each side of the equation. -2 + 2 + 2x = 6.003 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 6.003 + 2 2x = 6.003 + 2 Combine like terms: 6.003 + 2 = 8.003 2x = 8.003 Divide each side by '2'. x = 4.0015 Simplifying x = 4.0015
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