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Simplifying 0.55x + 0.5(18 + -1x) = 0.10(-61) 0.55x + (18 * 0.5 + -1x * 0.5) = 0.10(-61) 0.55x + (9 + -0.5x) = 0.10(-61) Reorder the terms: 9 + 0.55x + -0.5x = 0.10(-61) Combine like terms: 0.55x + -0.5x = 0.05x 9 + 0.05x = 0.10(-61) Multiply 0.10 * -61 9 + 0.05x = -6.1 Solving 9 + 0.05x = -6.1 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 = -6.1 + -9 Combine like terms: 9 + -9 = 0 0 + 0.05x = -6.1 + -9 0.05x = -6.1 + -9 Combine like terms: -6.1 + -9 = -15.1 0.05x = -15.1 Divide each side by '0.05'. x = -302 Simplifying x = -302
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