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Simplifying 0.9(5x + 15) = 2.5(x + 3) Reorder the terms: 0.9(15 + 5x) = 2.5(x + 3) (15 * 0.9 + 5x * 0.9) = 2.5(x + 3) (13.5 + 4.5x) = 2.5(x + 3) Reorder the terms: 13.5 + 4.5x = 2.5(3 + x) 13.5 + 4.5x = (3 * 2.5 + x * 2.5) 13.5 + 4.5x = (7.5 + 2.5x) Solving 13.5 + 4.5x = 7.5 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 13.5 + 4.5x + -2.5x = 7.5 + 2.5x + -2.5x Combine like terms: 4.5x + -2.5x = 2x 13.5 + 2x = 7.5 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 13.5 + 2x = 7.5 + 0.0 13.5 + 2x = 7.5 Add '-13.5' to each side of the equation. 13.5 + -13.5 + 2x = 7.5 + -13.5 Combine like terms: 13.5 + -13.5 = 0.0 0.0 + 2x = 7.5 + -13.5 2x = 7.5 + -13.5 Combine like terms: 7.5 + -13.5 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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