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Simplifying 0.50x + 0.45(130) = 0.25(150) Multiply 0.45 * 130 0.50x + 58.5 = 0.25(150) Reorder the terms: 58.5 + 0.50x = 0.25(150) Multiply 0.25 * 150 58.5 + 0.50x = 37.5 Solving 58.5 + 0.50x = 37.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-58.5' to each side of the equation. 58.5 + -58.5 + 0.50x = 37.5 + -58.5 Combine like terms: 58.5 + -58.5 = 0.0 0.0 + 0.50x = 37.5 + -58.5 0.50x = 37.5 + -58.5 Combine like terms: 37.5 + -58.5 = -21 0.50x = -21 Divide each side by '0.50'. x = -42 Simplifying x = -42
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