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Simplifying 1.66(6x + 24) + -20 = 0.25(12x + -72) Reorder the terms: 1.66(24 + 6x) + -20 = 0.25(12x + -72) (24 * 1.66 + 6x * 1.66) + -20 = 0.25(12x + -72) (39.84 + 9.96x) + -20 = 0.25(12x + -72) Reorder the terms: 39.84 + -20 + 9.96x = 0.25(12x + -72) Combine like terms: 39.84 + -20 = 19.84 19.84 + 9.96x = 0.25(12x + -72) Reorder the terms: 19.84 + 9.96x = 0.25(-72 + 12x) 19.84 + 9.96x = (-72 * 0.25 + 12x * 0.25) 19.84 + 9.96x = (-18 + 3x) Solving 19.84 + 9.96x = -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. 19.84 + 9.96x + -3x = -18 + 3x + -3x Combine like terms: 9.96x + -3x = 6.96x 19.84 + 6.96x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 19.84 + 6.96x = -18 + 0 19.84 + 6.96x = -18 Add '-19.84' to each side of the equation. 19.84 + -19.84 + 6.96x = -18 + -19.84 Combine like terms: 19.84 + -19.84 = 0.00 0.00 + 6.96x = -18 + -19.84 6.96x = -18 + -19.84 Combine like terms: -18 + -19.84 = -37.84 6.96x = -37.84 Divide each side by '6.96'. x = -5.436781609 Simplifying x = -5.436781609
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