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Simplifying 2.5(x + 2) = 1.5(1 + x) Reorder the terms: 2.5(2 + x) = 1.5(1 + x) (2 * 2.5 + x * 2.5) = 1.5(1 + x) (5 + 2.5x) = 1.5(1 + x) 5 + 2.5x = (1 * 1.5 + x * 1.5) 5 + 2.5x = (1.5 + 1.5x) Solving 5 + 2.5x = 1.5 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 5 + 2.5x + -1.5x = 1.5 + 1.5x + -1.5x Combine like terms: 2.5x + -1.5x = 1x 5 + 1x = 1.5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 5 + 1x = 1.5 + 0.0 5 + 1x = 1.5 Add '-5' to each side of the equation. 5 + -5 + 1x = 1.5 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 1.5 + -5 1x = 1.5 + -5 Combine like terms: 1.5 + -5 = -3.5 1x = -3.5 Divide each side by '1'. x = -3.5 Simplifying x = -3.5
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