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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 = 660x 1360 + 660x = 6640 + -720x + 720x Combine like terms: -720x + 720x = 0 1360 + 660x = 6640 + 0 1360 + 660x = 6640 Add '-1360' to each side of the equation. 1360 + -1360 + 660x = 6640 + -1360 Combine like terms: 1360 + -1360 = 0 0 + 660x = 6640 + -1360 660x = 6640 + -1360 Combine like terms: 6640 + -1360 = 5280 660x = 5280 Divide each side by '660'. x = 8 Simplifying x = 8
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