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Simplifying 0.50x + 0.15(50) = 46.5 Multiply 0.15 * 50 0.50x + 7.5 = 46.5 Reorder the terms: 7.5 + 0.50x = 46.5 Solving 7.5 + 0.50x = 46.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + 0.50x = 46.5 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 0.50x = 46.5 + -7.5 0.50x = 46.5 + -7.5 Combine like terms: 46.5 + -7.5 = 39 0.50x = 39 Divide each side by '0.50'. x = 78 Simplifying x = 78
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