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Simplifying 0.33(21x + 24) + -3 = -0.5(10x + -16) Reorder the terms: 0.33(24 + 21x) + -3 = -0.5(10x + -16) (24 * 0.33 + 21x * 0.33) + -3 = -0.5(10x + -16) (7.92 + 6.93x) + -3 = -0.5(10x + -16) Reorder the terms: 7.92 + -3 + 6.93x = -0.5(10x + -16) Combine like terms: 7.92 + -3 = 4.92 4.92 + 6.93x = -0.5(10x + -16) Reorder the terms: 4.92 + 6.93x = -0.5(-16 + 10x) 4.92 + 6.93x = (-16 * -0.5 + 10x * -0.5) 4.92 + 6.93x = (8 + -5x) Solving 4.92 + 6.93x = 8 + -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. 4.92 + 6.93x + 5x = 8 + -5x + 5x Combine like terms: 6.93x + 5x = 11.93x 4.92 + 11.93x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 4.92 + 11.93x = 8 + 0 4.92 + 11.93x = 8 Add '-4.92' to each side of the equation. 4.92 + -4.92 + 11.93x = 8 + -4.92 Combine like terms: 4.92 + -4.92 = 0.00 0.00 + 11.93x = 8 + -4.92 11.93x = 8 + -4.92 Combine like terms: 8 + -4.92 = 3.08 11.93x = 3.08 Divide each side by '11.93'. x = 0.2581726739 Simplifying x = 0.2581726739
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