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Simplifying 100 = 1X + 2X + 3X + 4X + 5X + 6X + 7X + 8X + 9X + 10X + 11X + 12X Combine like terms: 1X + 2X = 3X 100 = 3X + 3X + 4X + 5X + 6X + 7X + 8X + 9X + 10X + 11X + 12X Combine like terms: 3X + 3X = 6X 100 = 6X + 4X + 5X + 6X + 7X + 8X + 9X + 10X + 11X + 12X Combine like terms: 6X + 4X = 10X 100 = 10X + 5X + 6X + 7X + 8X + 9X + 10X + 11X + 12X Combine like terms: 10X + 5X = 15X 100 = 15X + 6X + 7X + 8X + 9X + 10X + 11X + 12X Combine like terms: 15X + 6X = 21X 100 = 21X + 7X + 8X + 9X + 10X + 11X + 12X Combine like terms: 21X + 7X = 28X 100 = 28X + 8X + 9X + 10X + 11X + 12X Combine like terms: 28X + 8X = 36X 100 = 36X + 9X + 10X + 11X + 12X Combine like terms: 36X + 9X = 45X 100 = 45X + 10X + 11X + 12X Combine like terms: 45X + 10X = 55X 100 = 55X + 11X + 12X Combine like terms: 55X + 11X = 66X 100 = 66X + 12X Combine like terms: 66X + 12X = 78X 100 = 78X Solving 100 = 78X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-78X' to each side of the equation. 100 + -78X = 78X + -78X Combine like terms: 78X + -78X = 0 100 + -78X = 0 Add '-100' to each side of the equation. 100 + -100 + -78X = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -78X = 0 + -100 -78X = 0 + -100 Combine like terms: 0 + -100 = -100 -78X = -100 Divide each side by '-78'. X = 1.282051282 Simplifying X = 1.282051282
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