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Simplifying 20(100 + -82x) = -50(35x + 15) (100 * 20 + -82x * 20) = -50(35x + 15) (2000 + -1640x) = -50(35x + 15) Reorder the terms: 2000 + -1640x = -50(15 + 35x) 2000 + -1640x = (15 * -50 + 35x * -50) 2000 + -1640x = (-750 + -1750x) Solving 2000 + -1640x = -750 + -1750x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1750x' to each side of the equation. 2000 + -1640x + 1750x = -750 + -1750x + 1750x Combine like terms: -1640x + 1750x = 110x 2000 + 110x = -750 + -1750x + 1750x Combine like terms: -1750x + 1750x = 0 2000 + 110x = -750 + 0 2000 + 110x = -750 Add '-2000' to each side of the equation. 2000 + -2000 + 110x = -750 + -2000 Combine like terms: 2000 + -2000 = 0 0 + 110x = -750 + -2000 110x = -750 + -2000 Combine like terms: -750 + -2000 = -2750 110x = -2750 Divide each side by '110'. x = -25 Simplifying x = -25
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