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Simplifying 0.5(-4 + 6x) = 0.3333x + 0.5(x + 9) (-4 * 0.5 + 6x * 0.5) = 0.3333x + 0.5(x + 9) (-2 + 3x) = 0.3333x + 0.5(x + 9) Reorder the terms: -2 + 3x = 0.3333x + 0.5(9 + x) -2 + 3x = 0.3333x + (9 * 0.5 + x * 0.5) -2 + 3x = 0.3333x + (4.5 + 0.5x) Reorder the terms: -2 + 3x = 4.5 + 0.3333x + 0.5x Combine like terms: 0.3333x + 0.5x = 0.8333x -2 + 3x = 4.5 + 0.8333x Solving -2 + 3x = 4.5 + 0.8333x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8333x' to each side of the equation. -2 + 3x + -0.8333x = 4.5 + 0.8333x + -0.8333x Combine like terms: 3x + -0.8333x = 2.1667x -2 + 2.1667x = 4.5 + 0.8333x + -0.8333x Combine like terms: 0.8333x + -0.8333x = 0.0000 -2 + 2.1667x = 4.5 + 0.0000 -2 + 2.1667x = 4.5 Add '2' to each side of the equation. -2 + 2 + 2.1667x = 4.5 + 2 Combine like terms: -2 + 2 = 0 0 + 2.1667x = 4.5 + 2 2.1667x = 4.5 + 2 Combine like terms: 4.5 + 2 = 6.5 2.1667x = 6.5 Divide each side by '2.1667'. x = 2.999953847 Simplifying x = 2.999953847
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