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Simplifying 2X + 5X + -100 = 3X + 100 Reorder the terms: -100 + 2X + 5X = 3X + 100 Combine like terms: 2X + 5X = 7X -100 + 7X = 3X + 100 Reorder the terms: -100 + 7X = 100 + 3X Solving -100 + 7X = 100 + 3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3X' to each side of the equation. -100 + 7X + -3X = 100 + 3X + -3X Combine like terms: 7X + -3X = 4X -100 + 4X = 100 + 3X + -3X Combine like terms: 3X + -3X = 0 -100 + 4X = 100 + 0 -100 + 4X = 100 Add '100' to each side of the equation. -100 + 100 + 4X = 100 + 100 Combine like terms: -100 + 100 = 0 0 + 4X = 100 + 100 4X = 100 + 100 Combine like terms: 100 + 100 = 200 4X = 200 Divide each side by '4'. X = 50 Simplifying X = 50
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