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Simplifying 0.5x + 0.35(30) = 49.5 Multiply 0.35 * 30 0.5x + 10.5 = 49.5 Reorder the terms: 10.5 + 0.5x = 49.5 Solving 10.5 + 0.5x = 49.5 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 + 0.5x = 49.5 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + 0.5x = 49.5 + -10.5 0.5x = 49.5 + -10.5 Combine like terms: 49.5 + -10.5 = 39 0.5x = 39 Divide each side by '0.5'. x = 78 Simplifying x = 78
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