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Simplifying 0.9(5x + 15) = 2.4 + -1(x + 3) Reorder the terms: 0.9(15 + 5x) = 2.4 + -1(x + 3) (15 * 0.9 + 5x * 0.9) = 2.4 + -1(x + 3) (13.5 + 4.5x) = 2.4 + -1(x + 3) Reorder the terms: 13.5 + 4.5x = 2.4 + -1(3 + x) 13.5 + 4.5x = 2.4 + (3 * -1 + x * -1) 13.5 + 4.5x = 2.4 + (-3 + -1x) Combine like terms: 2.4 + -3 = -0.6 13.5 + 4.5x = -0.6 + -1x Solving 13.5 + 4.5x = -0.6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 13.5 + 4.5x + x = -0.6 + -1x + x Combine like terms: 4.5x + x = 5.5x 13.5 + 5.5x = -0.6 + -1x + x Combine like terms: -1x + x = 0 13.5 + 5.5x = -0.6 + 0 13.5 + 5.5x = -0.6 Add '-13.5' to each side of the equation. 13.5 + -13.5 + 5.5x = -0.6 + -13.5 Combine like terms: 13.5 + -13.5 = 0.0 0.0 + 5.5x = -0.6 + -13.5 5.5x = -0.6 + -13.5 Combine like terms: -0.6 + -13.5 = -14.1 5.5x = -14.1 Divide each side by '5.5'. x = -2.563636364 Simplifying x = -2.563636364
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