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Simplifying 0.40(x + 30) + 0.20x = 21 Reorder the terms: 0.40(30 + x) + 0.20x = 21 (30 * 0.40 + x * 0.40) + 0.20x = 21 (12 + 0.40x) + 0.20x = 21 Combine like terms: 0.40x + 0.20x = 0.6x 12 + 0.6x = 21 Solving 12 + 0.6x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 0.6x = 21 + -12 Combine like terms: 12 + -12 = 0 0 + 0.6x = 21 + -12 0.6x = 21 + -12 Combine like terms: 21 + -12 = 9 0.6x = 9 Divide each side by '0.6'. x = 15 Simplifying x = 15
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