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Simplifying 100 = 0.50x + -1(15 + 0.05x) 100 = 0.50x + (15 * -1 + 0.05x * -1) 100 = 0.50x + (-15 + -0.05x) Reorder the terms: 100 = -15 + 0.50x + -0.05x Combine like terms: 0.50x + -0.05x = 0.45x 100 = -15 + 0.45x Solving 100 = -15 + 0.45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.45x' to each side of the equation. 100 + -0.45x = -15 + 0.45x + -0.45x Combine like terms: 0.45x + -0.45x = 0.00 100 + -0.45x = -15 + 0.00 100 + -0.45x = -15 Add '-100' to each side of the equation. 100 + -100 + -0.45x = -15 + -100 Combine like terms: 100 + -100 = 0 0 + -0.45x = -15 + -100 -0.45x = -15 + -100 Combine like terms: -15 + -100 = -115 -0.45x = -115 Divide each side by '-0.45'. x = 255.5555556 Simplifying x = 255.5555556
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