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Simplifying 0.5x + 0.2(75 + -1x) = 30 0.5x + (75 * 0.2 + -1x * 0.2) = 30 0.5x + (15 + -0.2x) = 30 Reorder the terms: 15 + 0.5x + -0.2x = 30 Combine like terms: 0.5x + -0.2x = 0.3x 15 + 0.3x = 30 Solving 15 + 0.3x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 0.3x = 30 + -15 Combine like terms: 15 + -15 = 0 0 + 0.3x = 30 + -15 0.3x = 30 + -15 Combine like terms: 30 + -15 = 15 0.3x = 15 Divide each side by '0.3'. x = 50 Simplifying x = 50
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