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Simplifying 1.5(x + 2) = 0.5x Reorder the terms: 1.5(2 + x) = 0.5x (2 * 1.5 + x * 1.5) = 0.5x (3 + 1.5x) = 0.5x Solving 3 + 1.5x = 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 3 + 1.5x + -0.5x = 0.5x + -0.5x Combine like terms: 1.5x + -0.5x = 1x 3 + 1x = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 3 + 1x = 0.0 Add '-3' to each side of the equation. 3 + -3 + 1x = 0.0 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 0.0 + -3 1x = 0.0 + -3 Combine like terms: 0.0 + -3 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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