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Simplifying 2x + 13 + 3x + -8 + 2x + -3 + 2x + -7 + 3x + -12x + 11 + 2x + 9 = 900 Reorder the terms: 13 + -8 + -3 + -7 + 11 + 9 + 2x + 3x + 2x + 2x + 3x + -12x + 2x = 900 Combine like terms: 13 + -8 = 5 5 + -3 + -7 + 11 + 9 + 2x + 3x + 2x + 2x + 3x + -12x + 2x = 900 Combine like terms: 5 + -3 = 2 2 + -7 + 11 + 9 + 2x + 3x + 2x + 2x + 3x + -12x + 2x = 900 Combine like terms: 2 + -7 = -5 -5 + 11 + 9 + 2x + 3x + 2x + 2x + 3x + -12x + 2x = 900 Combine like terms: -5 + 11 = 6 6 + 9 + 2x + 3x + 2x + 2x + 3x + -12x + 2x = 900 Combine like terms: 6 + 9 = 15 15 + 2x + 3x + 2x + 2x + 3x + -12x + 2x = 900 Combine like terms: 2x + 3x = 5x 15 + 5x + 2x + 2x + 3x + -12x + 2x = 900 Combine like terms: 5x + 2x = 7x 15 + 7x + 2x + 3x + -12x + 2x = 900 Combine like terms: 7x + 2x = 9x 15 + 9x + 3x + -12x + 2x = 900 Combine like terms: 9x + 3x = 12x 15 + 12x + -12x + 2x = 900 Combine like terms: 12x + -12x = 0 15 + 0 + 2x = 900 15 + 2x = 900 Solving 15 + 2x = 900 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 2x = 900 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 900 + -15 2x = 900 + -15 Combine like terms: 900 + -15 = 885 2x = 885 Divide each side by '2'. x = 442.5 Simplifying x = 442.5
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