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Simplifying x(1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9) + -1000 = 15x Combine like terms: 1 + 2 = 3 x(3 + 3 + 4 + 5 + 6 + 7 + 8 + 9) + -1000 = 15x Combine like terms: 3 + 3 = 6 x(6 + 4 + 5 + 6 + 7 + 8 + 9) + -1000 = 15x Combine like terms: 6 + 4 = 10 x(10 + 5 + 6 + 7 + 8 + 9) + -1000 = 15x Combine like terms: 10 + 5 = 15 x(15 + 6 + 7 + 8 + 9) + -1000 = 15x Combine like terms: 15 + 6 = 21 x(21 + 7 + 8 + 9) + -1000 = 15x Combine like terms: 21 + 7 = 28 x(28 + 8 + 9) + -1000 = 15x Combine like terms: 28 + 8 = 36 x(36 + 9) + -1000 = 15x Combine like terms: 36 + 9 = 45 x(45) + -1000 = 15x Reorder the terms for easier multiplication: 45x + -1000 = 15x Reorder the terms: -1000 + 45x = 15x Solving -1000 + 45x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -1000 + 45x + -15x = 15x + -15x Combine like terms: 45x + -15x = 30x -1000 + 30x = 15x + -15x Combine like terms: 15x + -15x = 0 -1000 + 30x = 0 Add '1000' to each side of the equation. -1000 + 1000 + 30x = 0 + 1000 Combine like terms: -1000 + 1000 = 0 0 + 30x = 0 + 1000 30x = 0 + 1000 Combine like terms: 0 + 1000 = 1000 30x = 1000 Divide each side by '30'. x = 33.33333333 Simplifying x = 33.33333333
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