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Simplifying 0.75x + 0.05(16 + -1x) = 0.10(-90) 0.75x + (16 * 0.05 + -1x * 0.05) = 0.10(-90) 0.75x + (0.8 + -0.05x) = 0.10(-90) Reorder the terms: 0.8 + 0.75x + -0.05x = 0.10(-90) Combine like terms: 0.75x + -0.05x = 0.7x 0.8 + 0.7x = 0.10(-90) Multiply 0.10 * -90 0.8 + 0.7x = -9 Solving 0.8 + 0.7x = -9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + 0.7x = -9 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.7x = -9 + -0.8 0.7x = -9 + -0.8 Combine like terms: -9 + -0.8 = -9.8 0.7x = -9.8 Divide each side by '0.7'. x = -14 Simplifying x = -14
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