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Simplifying 0.09x + 0.13(x + 10) = 20 Reorder the terms: 0.09x + 0.13(10 + x) = 20 0.09x + (10 * 0.13 + x * 0.13) = 20 0.09x + (1.3 + 0.13x) = 20 Reorder the terms: 1.3 + 0.09x + 0.13x = 20 Combine like terms: 0.09x + 0.13x = 0.22x 1.3 + 0.22x = 20 Solving 1.3 + 0.22x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.3' to each side of the equation. 1.3 + -1.3 + 0.22x = 20 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + 0.22x = 20 + -1.3 0.22x = 20 + -1.3 Combine like terms: 20 + -1.3 = 18.7 0.22x = 18.7 Divide each side by '0.22'. x = 85 Simplifying x = 85
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