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Simplifying 0.40(x + 10) + 0.20x = 13 Reorder the terms: 0.40(10 + x) + 0.20x = 13 (10 * 0.40 + x * 0.40) + 0.20x = 13 (4 + 0.40x) + 0.20x = 13 Combine like terms: 0.40x + 0.20x = 0.6x 4 + 0.6x = 13 Solving 4 + 0.6x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 0.6x = 13 + -4 Combine like terms: 4 + -4 = 0 0 + 0.6x = 13 + -4 0.6x = 13 + -4 Combine like terms: 13 + -4 = 9 0.6x = 9 Divide each side by '0.6'. x = 15 Simplifying x = 15
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