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Simplifying 1 = x + 0.5 + x * 0.5 Reorder the terms for easier multiplication: 1 = x + 0.5 + 0.5x Reorder the terms: 1 = 0.5 + x + 0.5x Combine like terms: x + 0.5x = 1.5x 1 = 0.5 + 1.5x Solving 1 = 0.5 + 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. 1 + -1.5x = 0.5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 1 + -1.5x = 0.5 + 0.0 1 + -1.5x = 0.5 Add '-1' to each side of the equation. 1 + -1 + -1.5x = 0.5 + -1 Combine like terms: 1 + -1 = 0 0 + -1.5x = 0.5 + -1 -1.5x = 0.5 + -1 Combine like terms: 0.5 + -1 = -0.5 -1.5x = -0.5 Divide each side by '-1.5'. x = 0.3333333333 Simplifying x = 0.3333333333
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