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Simplifying 0.5(x + 50) + 0.3x = 41 Reorder the terms: 0.5(50 + x) + 0.3x = 41 (50 * 0.5 + x * 0.5) + 0.3x = 41 (25 + 0.5x) + 0.3x = 41 Combine like terms: 0.5x + 0.3x = 0.8x 25 + 0.8x = 41 Solving 25 + 0.8x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 0.8x = 41 + -25 Combine like terms: 25 + -25 = 0 0 + 0.8x = 41 + -25 0.8x = 41 + -25 Combine like terms: 41 + -25 = 16 0.8x = 16 Divide each side by '0.8'. x = 20 Simplifying x = 20
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