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Simplifying 0.6666666(6x + -15) = 0.75(8x + 12) Reorder the terms: 0.6666666(-15 + 6x) = 0.75(8x + 12) (-15 * 0.6666666 + 6x * 0.6666666) = 0.75(8x + 12) (-9.999999 + 3.9999996x) = 0.75(8x + 12) Reorder the terms: -9.999999 + 3.9999996x = 0.75(12 + 8x) -9.999999 + 3.9999996x = (12 * 0.75 + 8x * 0.75) -9.999999 + 3.9999996x = (9 + 6x) Solving -9.999999 + 3.9999996x = 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. -9.999999 + 3.9999996x + -6x = 9 + 6x + -6x Combine like terms: 3.9999996x + -6x = -2.0000004x -9.999999 + -2.0000004x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -9.999999 + -2.0000004x = 9 + 0 -9.999999 + -2.0000004x = 9 Add '9.999999' to each side of the equation. -9.999999 + 9.999999 + -2.0000004x = 9 + 9.999999 Combine like terms: -9.999999 + 9.999999 = 0.000000 0.000000 + -2.0000004x = 9 + 9.999999 -2.0000004x = 9 + 9.999999 Combine like terms: 9 + 9.999999 = 18.999999 -2.0000004x = 18.999999 Divide each side by '-2.0000004'. x = -9.4999976 Simplifying x = -9.4999976
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