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Simplifying -20(3x + -68) = 80(9x + -83) Reorder the terms: -20(-68 + 3x) = 80(9x + -83) (-68 * -20 + 3x * -20) = 80(9x + -83) (1360 + -60x) = 80(9x + -83) Reorder the terms: 1360 + -60x = 80(-83 + 9x) 1360 + -60x = (-83 * 80 + 9x * 80) 1360 + -60x = (-6640 + 720x) Solving 1360 + -60x = -6640 + 720x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-720x' to each side of the equation. 1360 + -60x + -720x = -6640 + 720x + -720x Combine like terms: -60x + -720x = -780x 1360 + -780x = -6640 + 720x + -720x Combine like terms: 720x + -720x = 0 1360 + -780x = -6640 + 0 1360 + -780x = -6640 Add '-1360' to each side of the equation. 1360 + -1360 + -780x = -6640 + -1360 Combine like terms: 1360 + -1360 = 0 0 + -780x = -6640 + -1360 -780x = -6640 + -1360 Combine like terms: -6640 + -1360 = -8000 -780x = -8000 Divide each side by '-780'. x = 10.25641026 Simplifying x = 10.25641026
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