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Simplifying 0.90 + 0.05(18 + -1x) = 0.10(94) 0.90 + (18 * 0.05 + -1x * 0.05) = 0.10(94) 0.90 + (0.9 + -0.05x) = 0.10(94) Combine like terms: 0.90 + 0.9 = 1.8 1.8 + -0.05x = 0.10(94) Multiply 0.10 * 94 1.8 + -0.05x = 9.4 Solving 1.8 + -0.05x = 9.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.8' to each side of the equation. 1.8 + -1.8 + -0.05x = 9.4 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -0.05x = 9.4 + -1.8 -0.05x = 9.4 + -1.8 Combine like terms: 9.4 + -1.8 = 7.6 -0.05x = 7.6 Divide each side by '-0.05'. x = -152 Simplifying x = -152
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