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Simplifying 3X + 122 = 5X + 100 Reorder the terms: 122 + 3X = 5X + 100 Reorder the terms: 122 + 3X = 100 + 5X Solving 122 + 3X = 100 + 5X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5X' to each side of the equation. 122 + 3X + -5X = 100 + 5X + -5X Combine like terms: 3X + -5X = -2X 122 + -2X = 100 + 5X + -5X Combine like terms: 5X + -5X = 0 122 + -2X = 100 + 0 122 + -2X = 100 Add '-122' to each side of the equation. 122 + -122 + -2X = 100 + -122 Combine like terms: 122 + -122 = 0 0 + -2X = 100 + -122 -2X = 100 + -122 Combine like terms: 100 + -122 = -22 -2X = -22 Divide each side by '-2'. X = 11 Simplifying X = 11
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