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