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Simplifying 0.5(-4 + 0.5) * 6x = 0.33x + 0.667x + 6 Combine like terms: -4 + 0.5 = -3.5 0.5(-3.5) * 6x = 0.33x + 0.667x + 6 Multiply 0.5 * -3.5 -1.75 * 6x = 0.33x + 0.667x + 6 Multiply -1.75 * 6 -10.5x = 0.33x + 0.667x + 6 Reorder the terms: -10.5x = 6 + 0.33x + 0.667x Combine like terms: 0.33x + 0.667x = 0.997x -10.5x = 6 + 0.997x Solving -10.5x = 6 + 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. -10.5x + -0.997x = 6 + 0.997x + -0.997x Combine like terms: -10.5x + -0.997x = -11.497x -11.497x = 6 + 0.997x + -0.997x Combine like terms: 0.997x + -0.997x = 0.000 -11.497x = 6 + 0.000 -11.497x = 6 Divide each side by '-11.497'. x = -0.5218752718 Simplifying x = -0.5218752718
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