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Simplifying 0.080x + 0.05(8 + -1x) = 0.10(94) 0.080x + (8 * 0.05 + -1x * 0.05) = 0.10(94) 0.080x + (0.4 + -0.05x) = 0.10(94) Reorder the terms: 0.4 + 0.080x + -0.05x = 0.10(94) Combine like terms: 0.080x + -0.05x = 0.03x 0.4 + 0.03x = 0.10(94) Multiply 0.10 * 94 0.4 + 0.03x = 9.4 Solving 0.4 + 0.03x = 9.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.03x = 9.4 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.03x = 9.4 + -0.4 0.03x = 9.4 + -0.4 Combine like terms: 9.4 + -0.4 = 9 0.03x = 9 Divide each side by '0.03'. x = 300 Simplifying x = 300
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