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Simplifying 0.3(x + 100) + 0.5x = 46 Reorder the terms: 0.3(100 + x) + 0.5x = 46 (100 * 0.3 + x * 0.3) + 0.5x = 46 (30 + 0.3x) + 0.5x = 46 Combine like terms: 0.3x + 0.5x = 0.8x 30 + 0.8x = 46 Solving 30 + 0.8x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 0.8x = 46 + -30 Combine like terms: 30 + -30 = 0 0 + 0.8x = 46 + -30 0.8x = 46 + -30 Combine like terms: 46 + -30 = 16 0.8x = 16 Divide each side by '0.8'. x = 20 Simplifying x = 20
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