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Simplifying x + 1 + x + 3 + x + 5 + x + 7 + x + 9 + x + 11 = 204 Reorder the terms: 1 + 3 + 5 + 7 + 9 + 11 + x + x + x + x + x + x = 204 Combine like terms: 1 + 3 = 4 4 + 5 + 7 + 9 + 11 + x + x + x + x + x + x = 204 Combine like terms: 4 + 5 = 9 9 + 7 + 9 + 11 + x + x + x + x + x + x = 204 Combine like terms: 9 + 7 = 16 16 + 9 + 11 + x + x + x + x + x + x = 204 Combine like terms: 16 + 9 = 25 25 + 11 + x + x + x + x + x + x = 204 Combine like terms: 25 + 11 = 36 36 + x + x + x + x + x + x = 204 Combine like terms: x + x = 2x 36 + 2x + x + x + x + x = 204 Combine like terms: 2x + x = 3x 36 + 3x + x + x + x = 204 Combine like terms: 3x + x = 4x 36 + 4x + x + x = 204 Combine like terms: 4x + x = 5x 36 + 5x + x = 204 Combine like terms: 5x + x = 6x 36 + 6x = 204 Solving 36 + 6x = 204 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 6x = 204 + -36 Combine like terms: 36 + -36 = 0 0 + 6x = 204 + -36 6x = 204 + -36 Combine like terms: 204 + -36 = 168 6x = 168 Divide each side by '6'. x = 28 Simplifying x = 28
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