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Simplifying 0.06x + 0.09(100 + -1x) = 8.85 0.06x + (100 * 0.09 + -1x * 0.09) = 8.85 0.06x + (9 + -0.09x) = 8.85 Reorder the terms: 9 + 0.06x + -0.09x = 8.85 Combine like terms: 0.06x + -0.09x = -0.03x 9 + -0.03x = 8.85 Solving 9 + -0.03x = 8.85 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 + -0.03x = 8.85 + -9 Combine like terms: 9 + -9 = 0 0 + -0.03x = 8.85 + -9 -0.03x = 8.85 + -9 Combine like terms: 8.85 + -9 = -0.15 -0.03x = -0.15 Divide each side by '-0.03'. x = 5 Simplifying x = 5
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