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Simplifying 0.50x + 0.35(30) = 34.5 Multiply 0.35 * 30 0.50x + 10.5 = 34.5 Reorder the terms: 10.5 + 0.50x = 34.5 Solving 10.5 + 0.50x = 34.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.5' to each side of the equation. 10.5 + -10.5 + 0.50x = 34.5 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + 0.50x = 34.5 + -10.5 0.50x = 34.5 + -10.5 Combine like terms: 34.5 + -10.5 = 24 0.50x = 24 Divide each side by '0.50'. x = 48 Simplifying x = 48
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