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Simplifying 0.02x + 0.09(100 + -1x) = 6.2 0.02x + (100 * 0.09 + -1x * 0.09) = 6.2 0.02x + (9 + -0.09x) = 6.2 Reorder the terms: 9 + 0.02x + -0.09x = 6.2 Combine like terms: 0.02x + -0.09x = -0.07x 9 + -0.07x = 6.2 Solving 9 + -0.07x = 6.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -0.07x = 6.2 + -9 Combine like terms: 9 + -9 = 0 0 + -0.07x = 6.2 + -9 -0.07x = 6.2 + -9 Combine like terms: 6.2 + -9 = -2.8 -0.07x = -2.8 Divide each side by '-0.07'. x = 40 Simplifying x = 40
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