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Simplifying 0.50x + 0.15(30) = 49.5 Multiply 0.15 * 30 0.50x + 4.5 = 49.5 Reorder the terms: 4.5 + 0.50x = 49.5 Solving 4.5 + 0.50x = 49.5 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 = 49.5 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 0.50x = 49.5 + -4.5 0.50x = 49.5 + -4.5 Combine like terms: 49.5 + -4.5 = 45 0.50x = 45 Divide each side by '0.50'. x = 90 Simplifying x = 90
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