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Simplifying 0.6(45x + 40) + -7 = -0.25(20x + -24) Reorder the terms: 0.6(40 + 45x) + -7 = -0.25(20x + -24) (40 * 0.6 + 45x * 0.6) + -7 = -0.25(20x + -24) (24 + 27x) + -7 = -0.25(20x + -24) Reorder the terms: 24 + -7 + 27x = -0.25(20x + -24) Combine like terms: 24 + -7 = 17 17 + 27x = -0.25(20x + -24) Reorder the terms: 17 + 27x = -0.25(-24 + 20x) 17 + 27x = (-24 * -0.25 + 20x * -0.25) 17 + 27x = (6 + -5x) Solving 17 + 27x = 6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 17 + 27x + 5x = 6 + -5x + 5x Combine like terms: 27x + 5x = 32x 17 + 32x = 6 + -5x + 5x Combine like terms: -5x + 5x = 0 17 + 32x = 6 + 0 17 + 32x = 6 Add '-17' to each side of the equation. 17 + -17 + 32x = 6 + -17 Combine like terms: 17 + -17 = 0 0 + 32x = 6 + -17 32x = 6 + -17 Combine like terms: 6 + -17 = -11 32x = -11 Divide each side by '32'. x = -0.34375 Simplifying x = -0.34375
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