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Simplifying 0.33(6x + 24) + -20 = -0.25(12x + -72) Reorder the terms: 0.33(24 + 6x) + -20 = -0.25(12x + -72) (24 * 0.33 + 6x * 0.33) + -20 = -0.25(12x + -72) (7.92 + 1.98x) + -20 = -0.25(12x + -72) Reorder the terms: 7.92 + -20 + 1.98x = -0.25(12x + -72) Combine like terms: 7.92 + -20 = -12.08 -12.08 + 1.98x = -0.25(12x + -72) Reorder the terms: -12.08 + 1.98x = -0.25(-72 + 12x) -12.08 + 1.98x = (-72 * -0.25 + 12x * -0.25) -12.08 + 1.98x = (18 + -3x) Solving -12.08 + 1.98x = 18 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -12.08 + 1.98x + 3x = 18 + -3x + 3x Combine like terms: 1.98x + 3x = 4.98x -12.08 + 4.98x = 18 + -3x + 3x Combine like terms: -3x + 3x = 0 -12.08 + 4.98x = 18 + 0 -12.08 + 4.98x = 18 Add '12.08' to each side of the equation. -12.08 + 12.08 + 4.98x = 18 + 12.08 Combine like terms: -12.08 + 12.08 = 0.00 0.00 + 4.98x = 18 + 12.08 4.98x = 18 + 12.08 Combine like terms: 18 + 12.08 = 30.08 4.98x = 30.08 Divide each side by '4.98'. x = 6.040160643 Simplifying x = 6.040160643
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