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Simplifying 0.5x + -3 = 2.25 + 1.5x Reorder the terms: -3 + 0.5x = 2.25 + 1.5x Solving -3 + 0.5x = 2.25 + 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. -3 + 0.5x + -1.5x = 2.25 + 1.5x + -1.5x Combine like terms: 0.5x + -1.5x = -1x -3 + -1x = 2.25 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -3 + -1x = 2.25 + 0.0 -3 + -1x = 2.25 Add '3' to each side of the equation. -3 + 3 + -1x = 2.25 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 2.25 + 3 -1x = 2.25 + 3 Combine like terms: 2.25 + 3 = 5.25 -1x = 5.25 Divide each side by '-1'. x = -5.25 Simplifying x = -5.25
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