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Simplifying 1.5x + 2 = 0.5 + -0.5x Reorder the terms: 2 + 1.5x = 0.5 + -0.5x Solving 2 + 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. 2 + 1.5x + 0.5x = 0.5 + -0.5x + 0.5x Combine like terms: 1.5x + 0.5x = 2x 2 + 2x = 0.5 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 2 + 2x = 0.5 + 0.0 2 + 2x = 0.5 Add '-2' to each side of the equation. 2 + -2 + 2x = 0.5 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 0.5 + -2 2x = 0.5 + -2 Combine like terms: 0.5 + -2 = -1.5 2x = -1.5 Divide each side by '2'. x = -0.75 Simplifying x = -0.75
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