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Simplifying 0.667(6x + -15) = 0.75(8x + 12) Reorder the terms: 0.667(-15 + 6x) = 0.75(8x + 12) (-15 * 0.667 + 6x * 0.667) = 0.75(8x + 12) (-10.005 + 4.002x) = 0.75(8x + 12) Reorder the terms: -10.005 + 4.002x = 0.75(12 + 8x) -10.005 + 4.002x = (12 * 0.75 + 8x * 0.75) -10.005 + 4.002x = (9 + 6x) Solving -10.005 + 4.002x = 9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -10.005 + 4.002x + -6x = 9 + 6x + -6x Combine like terms: 4.002x + -6x = -1.998x -10.005 + -1.998x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -10.005 + -1.998x = 9 + 0 -10.005 + -1.998x = 9 Add '10.005' to each side of the equation. -10.005 + 10.005 + -1.998x = 9 + 10.005 Combine like terms: -10.005 + 10.005 = 0.000 0.000 + -1.998x = 9 + 10.005 -1.998x = 9 + 10.005 Combine like terms: 9 + 10.005 = 19.005 -1.998x = 19.005 Divide each side by '-1.998'. x = -9.512012012 Simplifying x = -9.512012012
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