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Simplifying 0.55x + 0.5(16 + -1x) = 0.10(-82) 0.55x + (16 * 0.5 + -1x * 0.5) = 0.10(-82) 0.55x + (8 + -0.5x) = 0.10(-82) Reorder the terms: 8 + 0.55x + -0.5x = 0.10(-82) Combine like terms: 0.55x + -0.5x = 0.05x 8 + 0.05x = 0.10(-82) Multiply 0.10 * -82 8 + 0.05x = -8.2 Solving 8 + 0.05x = -8.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 0.05x = -8.2 + -8 Combine like terms: 8 + -8 = 0 0 + 0.05x = -8.2 + -8 0.05x = -8.2 + -8 Combine like terms: -8.2 + -8 = -16.2 0.05x = -16.2 Divide each side by '0.05'. x = -324 Simplifying x = -324
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