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Simplifying (X) + (0.5X) + (0.5X + -5) = 100 X + (0.5X) + (0.5X + -5) = 100 Reorder the terms: X + (0.5X) + (-5 + 0.5X) = 100 Remove parenthesis around (-5 + 0.5X) X + (0.5X) + -5 + 0.5X = 100 Reorder the terms: -5 + X + (0.5X) + 0.5X = 100 Combine like terms: X + (0.5X) = 1.5X -5 + 1.5X + 0.5X = 100 Combine like terms: 1.5X + 0.5X = 2X -5 + 2X = 100 Solving -5 + 2X = 100 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2X = 100 + 5 Combine like terms: -5 + 5 = 0 0 + 2X = 100 + 5 2X = 100 + 5 Combine like terms: 100 + 5 = 105 2X = 105 Divide each side by '2'. X = 52.5 Simplifying X = 52.5
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