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Simplifying 0.50x + 0.05(20 + -1x) = 0.10(-53) 0.50x + (20 * 0.05 + -1x * 0.05) = 0.10(-53) 0.50x + (1 + -0.05x) = 0.10(-53) Reorder the terms: 1 + 0.50x + -0.05x = 0.10(-53) Combine like terms: 0.50x + -0.05x = 0.45x 1 + 0.45x = 0.10(-53) Multiply 0.10 * -53 1 + 0.45x = -5.3 Solving 1 + 0.45x = -5.3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 0.45x = -5.3 + -1 Combine like terms: 1 + -1 = 0 0 + 0.45x = -5.3 + -1 0.45x = -5.3 + -1 Combine like terms: -5.3 + -1 = -6.3 0.45x = -6.3 Divide each side by '0.45'. x = -14 Simplifying x = -14
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