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Simplifying 0.5x + -1.5 = 0.5(3 + -1x) Reorder the terms: -1.5 + 0.5x = 0.5(3 + -1x) -1.5 + 0.5x = (3 * 0.5 + -1x * 0.5) -1.5 + 0.5x = (1.5 + -0.5x) Solving -1.5 + 0.5x = 1.5 + -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. -1.5 + 0.5x + 0.5x = 1.5 + -0.5x + 0.5x Combine like terms: 0.5x + 0.5x = 1x -1.5 + 1x = 1.5 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -1.5 + 1x = 1.5 + 0.0 -1.5 + 1x = 1.5 Add '1.5' to each side of the equation. -1.5 + 1.5 + 1x = 1.5 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 1x = 1.5 + 1.5 1x = 1.5 + 1.5 Combine like terms: 1.5 + 1.5 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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