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Simplifying x + 1.5 + -0.5x = 45 Reorder the terms: 1.5 + x + -0.5x = 45 Combine like terms: x + -0.5x = 0.5x 1.5 + 0.5x = 45 Solving 1.5 + 0.5x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.5x = 45 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.5x = 45 + -1.5 0.5x = 45 + -1.5 Combine like terms: 45 + -1.5 = 43.5 0.5x = 43.5 Divide each side by '0.5'. x = 87 Simplifying x = 87
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