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Simplifying X + x + 100 + 2(X + 100) = 580 Reorder the terms: X + x + 100 + 2(100 + X) = 580 X + x + 100 + (100 * 2 + X * 2) = 580 X + x + 100 + (200 + 2X) = 580 Reorder the terms: 100 + 200 + X + 2X + x = 580 Combine like terms: 100 + 200 = 300 300 + X + 2X + x = 580 Combine like terms: X + 2X = 3X 300 + 3X + x = 580 Solving 300 + 3X + x = 580 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-300' to each side of the equation. 300 + 3X + -300 + x = 580 + -300 Reorder the terms: 300 + -300 + 3X + x = 580 + -300 Combine like terms: 300 + -300 = 0 0 + 3X + x = 580 + -300 3X + x = 580 + -300 Combine like terms: 580 + -300 = 280 3X + x = 280 Add '-1x' to each side of the equation. 3X + x + -1x = 280 + -1x Combine like terms: x + -1x = 0 3X + 0 = 280 + -1x 3X = 280 + -1x Divide each side by '3'. X = 93.33333333 + -0.3333333333x Simplifying X = 93.33333333 + -0.3333333333x
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