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Simplifying 0.3(x + 50) + 0.5x = 31 Reorder the terms: 0.3(50 + x) + 0.5x = 31 (50 * 0.3 + x * 0.3) + 0.5x = 31 (15 + 0.3x) + 0.5x = 31 Combine like terms: 0.3x + 0.5x = 0.8x 15 + 0.8x = 31 Solving 15 + 0.8x = 31 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 + 0.8x = 31 + -15 Combine like terms: 15 + -15 = 0 0 + 0.8x = 31 + -15 0.8x = 31 + -15 Combine like terms: 31 + -15 = 16 0.8x = 16 Divide each side by '0.8'. x = 20 Simplifying x = 20
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