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Simplifying 1.5(5X + 20) + -5 = 0.25(2x + 8) Reorder the terms: 1.5(20 + 5X) + -5 = 0.25(2x + 8) (20 * 1.5 + 5X * 1.5) + -5 = 0.25(2x + 8) (30 + 7.5X) + -5 = 0.25(2x + 8) Reorder the terms: 30 + -5 + 7.5X = 0.25(2x + 8) Combine like terms: 30 + -5 = 25 25 + 7.5X = 0.25(2x + 8) Reorder the terms: 25 + 7.5X = 0.25(8 + 2x) 25 + 7.5X = (8 * 0.25 + 2x * 0.25) 25 + 7.5X = (2 + 0.5x) Solving 25 + 7.5X = 2 + 0.5x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 7.5X = 2 + -25 + 0.5x Combine like terms: 25 + -25 = 0 0 + 7.5X = 2 + -25 + 0.5x 7.5X = 2 + -25 + 0.5x Combine like terms: 2 + -25 = -23 7.5X = -23 + 0.5x Divide each side by '7.5'. X = -3.066666667 + 0.06666666667x Simplifying X = -3.066666667 + 0.06666666667x
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