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Simplifying 0.75(20x + 28) + -10 = -0.50(12x + -10) Reorder the terms: 0.75(28 + 20x) + -10 = -0.50(12x + -10) (28 * 0.75 + 20x * 0.75) + -10 = -0.50(12x + -10) (21 + 15x) + -10 = -0.50(12x + -10) Reorder the terms: 21 + -10 + 15x = -0.50(12x + -10) Combine like terms: 21 + -10 = 11 11 + 15x = -0.50(12x + -10) Reorder the terms: 11 + 15x = -0.50(-10 + 12x) 11 + 15x = (-10 * -0.50 + 12x * -0.50) 11 + 15x = (5 + -6x) Solving 11 + 15x = 5 + -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. 11 + 15x + 6x = 5 + -6x + 6x Combine like terms: 15x + 6x = 21x 11 + 21x = 5 + -6x + 6x Combine like terms: -6x + 6x = 0 11 + 21x = 5 + 0 11 + 21x = 5 Add '-11' to each side of the equation. 11 + -11 + 21x = 5 + -11 Combine like terms: 11 + -11 = 0 0 + 21x = 5 + -11 21x = 5 + -11 Combine like terms: 5 + -11 = -6 21x = -6 Divide each side by '21'. x = -0.2857142857 Simplifying x = -0.2857142857
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