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Simplifying X + 3x + 4 + 5x + 6 + 7x + 9 = 11x + 13 + 15x + 17 + 19x + 21 + 23x + 25 Reorder the terms: 4 + 6 + 9 + X + 3x + 5x + 7x = 11x + 13 + 15x + 17 + 19x + 21 + 23x + 25 Combine like terms: 4 + 6 = 10 10 + 9 + X + 3x + 5x + 7x = 11x + 13 + 15x + 17 + 19x + 21 + 23x + 25 Combine like terms: 10 + 9 = 19 19 + X + 3x + 5x + 7x = 11x + 13 + 15x + 17 + 19x + 21 + 23x + 25 Combine like terms: 3x + 5x = 8x 19 + X + 8x + 7x = 11x + 13 + 15x + 17 + 19x + 21 + 23x + 25 Combine like terms: 8x + 7x = 15x 19 + X + 15x = 11x + 13 + 15x + 17 + 19x + 21 + 23x + 25 Reorder the terms: 19 + X + 15x = 13 + 17 + 21 + 25 + 11x + 15x + 19x + 23x Combine like terms: 13 + 17 = 30 19 + X + 15x = 30 + 21 + 25 + 11x + 15x + 19x + 23x Combine like terms: 30 + 21 = 51 19 + X + 15x = 51 + 25 + 11x + 15x + 19x + 23x Combine like terms: 51 + 25 = 76 19 + X + 15x = 76 + 11x + 15x + 19x + 23x Combine like terms: 11x + 15x = 26x 19 + X + 15x = 76 + 26x + 19x + 23x Combine like terms: 26x + 19x = 45x 19 + X + 15x = 76 + 45x + 23x Combine like terms: 45x + 23x = 68x 19 + X + 15x = 76 + 68x Solving 19 + X + 15x = 76 + 68x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + X + -19 + 15x = 76 + -19 + 68x Reorder the terms: 19 + -19 + X + 15x = 76 + -19 + 68x Combine like terms: 19 + -19 = 0 0 + X + 15x = 76 + -19 + 68x X + 15x = 76 + -19 + 68x Combine like terms: 76 + -19 = 57 X + 15x = 57 + 68x Add '-15x' to each side of the equation. X + 15x + -15x = 57 + 68x + -15x Combine like terms: 15x + -15x = 0 X + 0 = 57 + 68x + -15x X = 57 + 68x + -15x Combine like terms: 68x + -15x = 53x X = 57 + 53x Simplifying X = 57 + 53x
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