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Simplifying X + 2x + 3X + 4X + 5X + 6X + 7X + 8X + 9X + 10x + 11x + 12x = 100 Reorder the terms: X + 3X + 4X + 5X + 6X + 7X + 8X + 9X + 2x + 10x + 11x + 12x = 100 Combine like terms: X + 3X = 4X 4X + 4X + 5X + 6X + 7X + 8X + 9X + 2x + 10x + 11x + 12x = 100 Combine like terms: 4X + 4X = 8X 8X + 5X + 6X + 7X + 8X + 9X + 2x + 10x + 11x + 12x = 100 Combine like terms: 8X + 5X = 13X 13X + 6X + 7X + 8X + 9X + 2x + 10x + 11x + 12x = 100 Combine like terms: 13X + 6X = 19X 19X + 7X + 8X + 9X + 2x + 10x + 11x + 12x = 100 Combine like terms: 19X + 7X = 26X 26X + 8X + 9X + 2x + 10x + 11x + 12x = 100 Combine like terms: 26X + 8X = 34X 34X + 9X + 2x + 10x + 11x + 12x = 100 Combine like terms: 34X + 9X = 43X 43X + 2x + 10x + 11x + 12x = 100 Combine like terms: 2x + 10x = 12x 43X + 12x + 11x + 12x = 100 Combine like terms: 12x + 11x = 23x 43X + 23x + 12x = 100 Combine like terms: 23x + 12x = 35x 43X + 35x = 100 Solving 43X + 35x = 100 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-35x' to each side of the equation. 43X + 35x + -35x = 100 + -35x Combine like terms: 35x + -35x = 0 43X + 0 = 100 + -35x 43X = 100 + -35x Divide each side by '43'. X = 2.325581395 + -0.8139534884x Simplifying X = 2.325581395 + -0.8139534884x
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