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Simplifying 2x + 13 + 3x + -8 + 2x + 9 + 2x + 11 + 3x + -1 + 2x + -7 + 2x + -3 = 900 Reorder the terms: 13 + -8 + 9 + 11 + -1 + -7 + -3 + 2x + 3x + 2x + 2x + 3x + 2x + 2x = 900 Combine like terms: 13 + -8 = 5 5 + 9 + 11 + -1 + -7 + -3 + 2x + 3x + 2x + 2x + 3x + 2x + 2x = 900 Combine like terms: 5 + 9 = 14 14 + 11 + -1 + -7 + -3 + 2x + 3x + 2x + 2x + 3x + 2x + 2x = 900 Combine like terms: 14 + 11 = 25 25 + -1 + -7 + -3 + 2x + 3x + 2x + 2x + 3x + 2x + 2x = 900 Combine like terms: 25 + -1 = 24 24 + -7 + -3 + 2x + 3x + 2x + 2x + 3x + 2x + 2x = 900 Combine like terms: 24 + -7 = 17 17 + -3 + 2x + 3x + 2x + 2x + 3x + 2x + 2x = 900 Combine like terms: 17 + -3 = 14 14 + 2x + 3x + 2x + 2x + 3x + 2x + 2x = 900 Combine like terms: 2x + 3x = 5x 14 + 5x + 2x + 2x + 3x + 2x + 2x = 900 Combine like terms: 5x + 2x = 7x 14 + 7x + 2x + 3x + 2x + 2x = 900 Combine like terms: 7x + 2x = 9x 14 + 9x + 3x + 2x + 2x = 900 Combine like terms: 9x + 3x = 12x 14 + 12x + 2x + 2x = 900 Combine like terms: 12x + 2x = 14x 14 + 14x + 2x = 900 Combine like terms: 14x + 2x = 16x 14 + 16x = 900 Solving 14 + 16x = 900 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 16x = 900 + -14 Combine like terms: 14 + -14 = 0 0 + 16x = 900 + -14 16x = 900 + -14 Combine like terms: 900 + -14 = 886 16x = 886 Divide each side by '16'. x = 55.375 Simplifying x = 55.375
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