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Simplifying 0.3(x + 50) + 0.7x = 46 Reorder the terms: 0.3(50 + x) + 0.7x = 46 (50 * 0.3 + x * 0.3) + 0.7x = 46 (15 + 0.3x) + 0.7x = 46 Combine like terms: 0.3x + 0.7x = 1x 15 + 1x = 46 Solving 15 + 1x = 46 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 + 1x = 46 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 46 + -15 1x = 46 + -15 Combine like terms: 46 + -15 = 31 1x = 31 Divide each side by '1'. x = 31 Simplifying x = 31
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