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Simplifying 0.50x + 0.15(30) = 46.5 Multiply 0.15 * 30 0.50x + 4.5 = 46.5 Reorder the terms: 4.5 + 0.50x = 46.5 Solving 4.5 + 0.50x = 46.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + 0.50x = 46.5 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 0.50x = 46.5 + -4.5 0.50x = 46.5 + -4.5 Combine like terms: 46.5 + -4.5 = 42 0.50x = 42 Divide each side by '0.50'. x = 84 Simplifying x = 84
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