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Simplifying 1.5(x + 5) = -1(3x + 15) Reorder the terms: 1.5(5 + x) = -1(3x + 15) (5 * 1.5 + x * 1.5) = -1(3x + 15) (7.5 + 1.5x) = -1(3x + 15) Reorder the terms: 7.5 + 1.5x = -1(15 + 3x) 7.5 + 1.5x = (15 * -1 + 3x * -1) 7.5 + 1.5x = (-15 + -3x) Solving 7.5 + 1.5x = -15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 7.5 + 1.5x + 3x = -15 + -3x + 3x Combine like terms: 1.5x + 3x = 4.5x 7.5 + 4.5x = -15 + -3x + 3x Combine like terms: -3x + 3x = 0 7.5 + 4.5x = -15 + 0 7.5 + 4.5x = -15 Add '-7.5' to each side of the equation. 7.5 + -7.5 + 4.5x = -15 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 4.5x = -15 + -7.5 4.5x = -15 + -7.5 Combine like terms: -15 + -7.5 = -22.5 4.5x = -22.5 Divide each side by '4.5'. x = -5 Simplifying x = -5
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