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Simplifying 300(20x + -70) = 80(50x + 110) + -1(78x + -94) Reorder the terms: 300(-70 + 20x) = 80(50x + 110) + -1(78x + -94) (-70 * 300 + 20x * 300) = 80(50x + 110) + -1(78x + -94) (-21000 + 6000x) = 80(50x + 110) + -1(78x + -94) Reorder the terms: -21000 + 6000x = 80(110 + 50x) + -1(78x + -94) -21000 + 6000x = (110 * 80 + 50x * 80) + -1(78x + -94) -21000 + 6000x = (8800 + 4000x) + -1(78x + -94) Reorder the terms: -21000 + 6000x = 8800 + 4000x + -1(-94 + 78x) -21000 + 6000x = 8800 + 4000x + (-94 * -1 + 78x * -1) -21000 + 6000x = 8800 + 4000x + (94 + -78x) Reorder the terms: -21000 + 6000x = 8800 + 94 + 4000x + -78x Combine like terms: 8800 + 94 = 8894 -21000 + 6000x = 8894 + 4000x + -78x Combine like terms: 4000x + -78x = 3922x -21000 + 6000x = 8894 + 3922x Solving -21000 + 6000x = 8894 + 3922x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3922x' to each side of the equation. -21000 + 6000x + -3922x = 8894 + 3922x + -3922x Combine like terms: 6000x + -3922x = 2078x -21000 + 2078x = 8894 + 3922x + -3922x Combine like terms: 3922x + -3922x = 0 -21000 + 2078x = 8894 + 0 -21000 + 2078x = 8894 Add '21000' to each side of the equation. -21000 + 21000 + 2078x = 8894 + 21000 Combine like terms: -21000 + 21000 = 0 0 + 2078x = 8894 + 21000 2078x = 8894 + 21000 Combine like terms: 8894 + 21000 = 29894 2078x = 29894 Divide each side by '2078'. x = 14.38594803 Simplifying x = 14.38594803
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