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Simplifying 0.02x + 0.09(200 + -1x) = 13.1 0.02x + (200 * 0.09 + -1x * 0.09) = 13.1 0.02x + (18 + -0.09x) = 13.1 Reorder the terms: 18 + 0.02x + -0.09x = 13.1 Combine like terms: 0.02x + -0.09x = -0.07x 18 + -0.07x = 13.1 Solving 18 + -0.07x = 13.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -0.07x = 13.1 + -18 Combine like terms: 18 + -18 = 0 0 + -0.07x = 13.1 + -18 -0.07x = 13.1 + -18 Combine like terms: 13.1 + -18 = -4.9 -0.07x = -4.9 Divide each side by '-0.07'. x = 70 Simplifying x = 70
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