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Simplifying 1.5(3x + 2) + -1.5x + 4.5 = 15 Reorder the terms: 1.5(2 + 3x) + -1.5x + 4.5 = 15 (2 * 1.5 + 3x * 1.5) + -1.5x + 4.5 = 15 (3 + 4.5x) + -1.5x + 4.5 = 15 Reorder the terms: 3 + 4.5 + 4.5x + -1.5x = 15 Combine like terms: 3 + 4.5 = 7.5 7.5 + 4.5x + -1.5x = 15 Combine like terms: 4.5x + -1.5x = 3x 7.5 + 3x = 15 Solving 7.5 + 3x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + 3x = 15 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 3x = 15 + -7.5 3x = 15 + -7.5 Combine like terms: 15 + -7.5 = 7.5 3x = 7.5 Divide each side by '3'. x = 2.5 Simplifying x = 2.5
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