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Simplifying 0.5(-4 + 6x) = 0.33x + 0.667(x + 0) (-4 * 0.5 + 6x * 0.5) = 0.33x + 0.667(x + 0) (-2 + 3x) = 0.33x + 0.667(x + 0) Reorder the terms: -2 + 3x = 0.33x + 0.667(0 + x) Remove the zero: -2 + 3x = 0.33x + 0.667(x) Combine like terms: 0.33x + 0.667x = 0.997x -2 + 3x = 0.997x Solving -2 + 3x = 0.997x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.997x' to each side of the equation. -2 + 3x + -0.997x = 0.997x + -0.997x Combine like terms: 3x + -0.997x = 2.003x -2 + 2.003x = 0.997x + -0.997x Combine like terms: 0.997x + -0.997x = 0.000 -2 + 2.003x = 0.000 Add '2' to each side of the equation. -2 + 2 + 2.003x = 0.000 + 2 Combine like terms: -2 + 2 = 0 0 + 2.003x = 0.000 + 2 2.003x = 0.000 + 2 Combine like terms: 0.000 + 2 = 2 2.003x = 2 Divide each side by '2.003'. x = 0.9985022466 Simplifying x = 0.9985022466
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