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Simplifying 0.17x + 0.10(100 + -1x) = 13 0.17x + (100 * 0.10 + -1x * 0.10) = 13 0.17x + (10 + -0.1x) = 13 Reorder the terms: 10 + 0.17x + -0.1x = 13 Combine like terms: 0.17x + -0.1x = 0.07x 10 + 0.07x = 13 Solving 10 + 0.07x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 0.07x = 13 + -10 Combine like terms: 10 + -10 = 0 0 + 0.07x = 13 + -10 0.07x = 13 + -10 Combine like terms: 13 + -10 = 3 0.07x = 3 Divide each side by '0.07'. x = 42.85714286 Simplifying x = 42.85714286
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