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Simplifying 0.05x + 0.07(100 + -1x) = 6.6 0.05x + (100 * 0.07 + -1x * 0.07) = 6.6 0.05x + (7 + -0.07x) = 6.6 Reorder the terms: 7 + 0.05x + -0.07x = 6.6 Combine like terms: 0.05x + -0.07x = -0.02x 7 + -0.02x = 6.6 Solving 7 + -0.02x = 6.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -0.02x = 6.6 + -7 Combine like terms: 7 + -7 = 0 0 + -0.02x = 6.6 + -7 -0.02x = 6.6 + -7 Combine like terms: 6.6 + -7 = -0.4 -0.02x = -0.4 Divide each side by '-0.02'. x = 20 Simplifying x = 20
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