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Simplifying 600x + -1[(1900 + 120x) + (1600 + 50x) + 500] = 0 Remove parenthesis around (1900 + 120x) 600x + -1[1900 + 120x + (1600 + 50x) + 500] = 0 Remove parenthesis around (1600 + 50x) 600x + -1[1900 + 120x + 1600 + 50x + 500] = 0 Reorder the terms: 600x + -1[1900 + 1600 + 500 + 120x + 50x] = 0 Combine like terms: 1900 + 1600 = 3500 600x + -1[3500 + 500 + 120x + 50x] = 0 Combine like terms: 3500 + 500 = 4000 600x + -1[4000 + 120x + 50x] = 0 Combine like terms: 120x + 50x = 170x 600x + -1[4000 + 170x] = 0 600x + [4000 * -1 + 170x * -1] = 0 600x + [-4000 + -170x] = 0 Reorder the terms: -4000 + 600x + -170x = 0 Combine like terms: 600x + -170x = 430x -4000 + 430x = 0 Solving -4000 + 430x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4000' to each side of the equation. -4000 + 4000 + 430x = 0 + 4000 Combine like terms: -4000 + 4000 = 0 0 + 430x = 0 + 4000 430x = 0 + 4000 Combine like terms: 0 + 4000 = 4000 430x = 4000 Divide each side by '430'. x = 9.302325581 Simplifying x = 9.302325581
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