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Simplifying 0.75(28x + 20) + -16 = -0.33(6x + -6) Reorder the terms: 0.75(20 + 28x) + -16 = -0.33(6x + -6) (20 * 0.75 + 28x * 0.75) + -16 = -0.33(6x + -6) (15 + 21x) + -16 = -0.33(6x + -6) Reorder the terms: 15 + -16 + 21x = -0.33(6x + -6) Combine like terms: 15 + -16 = -1 -1 + 21x = -0.33(6x + -6) Reorder the terms: -1 + 21x = -0.33(-6 + 6x) -1 + 21x = (-6 * -0.33 + 6x * -0.33) -1 + 21x = (1.98 + -1.98x) Solving -1 + 21x = 1.98 + -1.98x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.98x' to each side of the equation. -1 + 21x + 1.98x = 1.98 + -1.98x + 1.98x Combine like terms: 21x + 1.98x = 22.98x -1 + 22.98x = 1.98 + -1.98x + 1.98x Combine like terms: -1.98x + 1.98x = 0.00 -1 + 22.98x = 1.98 + 0.00 -1 + 22.98x = 1.98 Add '1' to each side of the equation. -1 + 1 + 22.98x = 1.98 + 1 Combine like terms: -1 + 1 = 0 0 + 22.98x = 1.98 + 1 22.98x = 1.98 + 1 Combine like terms: 1.98 + 1 = 2.98 22.98x = 2.98 Divide each side by '22.98'. x = 0.1296779809 Simplifying x = 0.1296779809
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