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Simplifying 0.05x + 0.09(100 + -1x) = 5.8 0.05x + (100 * 0.09 + -1x * 0.09) = 5.8 0.05x + (9 + -0.09x) = 5.8 Reorder the terms: 9 + 0.05x + -0.09x = 5.8 Combine like terms: 0.05x + -0.09x = -0.04x 9 + -0.04x = 5.8 Solving 9 + -0.04x = 5.8 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 + -0.04x = 5.8 + -9 Combine like terms: 9 + -9 = 0 0 + -0.04x = 5.8 + -9 -0.04x = 5.8 + -9 Combine like terms: 5.8 + -9 = -3.2 -0.04x = -3.2 Divide each side by '-0.04'. x = 80 Simplifying x = 80
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