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Simplifying 2.5(x + 3) = 1.5x + 10 Reorder the terms: 2.5(3 + x) = 1.5x + 10 (3 * 2.5 + x * 2.5) = 1.5x + 10 (7.5 + 2.5x) = 1.5x + 10 Reorder the terms: 7.5 + 2.5x = 10 + 1.5x Solving 7.5 + 2.5x = 10 + 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. 7.5 + 2.5x + -1.5x = 10 + 1.5x + -1.5x Combine like terms: 2.5x + -1.5x = 1x 7.5 + 1x = 10 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 7.5 + 1x = 10 + 0.0 7.5 + 1x = 10 Add '-7.5' to each side of the equation. 7.5 + -7.5 + 1x = 10 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 1x = 10 + -7.5 1x = 10 + -7.5 Combine like terms: 10 + -7.5 = 2.5 1x = 2.5 Divide each side by '1'. x = 2.5 Simplifying x = 2.5
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