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Simplifying 3(x + 1.5) = 2.5(2x + 3) Reorder the terms: 3(1.5 + x) = 2.5(2x + 3) (1.5 * 3 + x * 3) = 2.5(2x + 3) (4.5 + 3x) = 2.5(2x + 3) Reorder the terms: 4.5 + 3x = 2.5(3 + 2x) 4.5 + 3x = (3 * 2.5 + 2x * 2.5) 4.5 + 3x = (7.5 + 5x) Solving 4.5 + 3x = 7.5 + 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. 4.5 + 3x + -5x = 7.5 + 5x + -5x Combine like terms: 3x + -5x = -2x 4.5 + -2x = 7.5 + 5x + -5x Combine like terms: 5x + -5x = 0 4.5 + -2x = 7.5 + 0 4.5 + -2x = 7.5 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -2x = 7.5 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -2x = 7.5 + -4.5 -2x = 7.5 + -4.5 Combine like terms: 7.5 + -4.5 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5
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