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Simplifying 7.5(3x + 5) = 5(x + 2) Reorder the terms: 7.5(5 + 3x) = 5(x + 2) (5 * 7.5 + 3x * 7.5) = 5(x + 2) (37.5 + 22.5x) = 5(x + 2) Reorder the terms: 37.5 + 22.5x = 5(2 + x) 37.5 + 22.5x = (2 * 5 + x * 5) 37.5 + 22.5x = (10 + 5x) Solving 37.5 + 22.5x = 10 + 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. 37.5 + 22.5x + -5x = 10 + 5x + -5x Combine like terms: 22.5x + -5x = 17.5x 37.5 + 17.5x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 37.5 + 17.5x = 10 + 0 37.5 + 17.5x = 10 Add '-37.5' to each side of the equation. 37.5 + -37.5 + 17.5x = 10 + -37.5 Combine like terms: 37.5 + -37.5 = 0.0 0.0 + 17.5x = 10 + -37.5 17.5x = 10 + -37.5 Combine like terms: 10 + -37.5 = -27.5 17.5x = -27.5 Divide each side by '17.5'. x = -1.571428571 Simplifying x = -1.571428571
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