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Simplifying 0.5x + 1 = 1.5x + -2 Reorder the terms: 1 + 0.5x = 1.5x + -2 Reorder the terms: 1 + 0.5x = -2 + 1.5x Solving 1 + 0.5x = -2 + 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. 1 + 0.5x + -1.5x = -2 + 1.5x + -1.5x Combine like terms: 0.5x + -1.5x = -1x 1 + -1x = -2 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 1 + -1x = -2 + 0.0 1 + -1x = -2 Add '-1' to each side of the equation. 1 + -1 + -1x = -2 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = -2 + -1 -1x = -2 + -1 Combine like terms: -2 + -1 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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