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Simplifying 0.04x + 0.09(100 + -1x) = 8 0.04x + (100 * 0.09 + -1x * 0.09) = 8 0.04x + (9 + -0.09x) = 8 Reorder the terms: 9 + 0.04x + -0.09x = 8 Combine like terms: 0.04x + -0.09x = -0.05x 9 + -0.05x = 8 Solving 9 + -0.05x = 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 + -0.05x = 8 + -9 Combine like terms: 9 + -9 = 0 0 + -0.05x = 8 + -9 -0.05x = 8 + -9 Combine like terms: 8 + -9 = -1 -0.05x = -1 Divide each side by '-0.05'. x = 20 Simplifying x = 20
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