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Simplifying 1.5x + 4.5 = 0.5x + -0.5 Reorder the terms: 4.5 + 1.5x = 0.5x + -0.5 Reorder the terms: 4.5 + 1.5x = -0.5 + 0.5x Solving 4.5 + 1.5x = -0.5 + 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. 4.5 + 1.5x + -0.5x = -0.5 + 0.5x + -0.5x Combine like terms: 1.5x + -0.5x = 1x 4.5 + 1x = -0.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 4.5 + 1x = -0.5 + 0.0 4.5 + 1x = -0.5 Add '-4.5' to each side of the equation. 4.5 + -4.5 + 1x = -0.5 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 1x = -0.5 + -4.5 1x = -0.5 + -4.5 Combine like terms: -0.5 + -4.5 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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