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Simplifying 0.5x + 1.5x = x + 4.5 + -0.5x Combine like terms: 0.5x + 1.5x = 2x 2x = x + 4.5 + -0.5x Reorder the terms: 2x = 4.5 + x + -0.5x Combine like terms: x + -0.5x = 0.5x 2x = 4.5 + 0.5x Solving 2x = 4.5 + 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. 2x + -0.5x = 4.5 + 0.5x + -0.5x Combine like terms: 2x + -0.5x = 1.5x 1.5x = 4.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 1.5x = 4.5 + 0.0 1.5x = 4.5 Divide each side by '1.5'. x = 3 Simplifying x = 3
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