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Simplifying -0.05x + 0.09(100 + -1x) = 7.8 -0.05x + (100 * 0.09 + -1x * 0.09) = 7.8 -0.05x + (9 + -0.09x) = 7.8 Reorder the terms: 9 + -0.05x + -0.09x = 7.8 Combine like terms: -0.05x + -0.09x = -0.14x 9 + -0.14x = 7.8 Solving 9 + -0.14x = 7.8 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 + -0.14x = 7.8 + -9 Combine like terms: 9 + -9 = 0 0 + -0.14x = 7.8 + -9 -0.14x = 7.8 + -9 Combine like terms: 7.8 + -9 = -1.2 -0.14x = -1.2 Divide each side by '-0.14'. x = 8.571428571 Simplifying x = 8.571428571
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