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Simplifying 7X + 21 = 4X + 42 Reorder the terms: 21 + 7X = 4X + 42 Reorder the terms: 21 + 7X = 42 + 4X Solving 21 + 7X = 42 + 4X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4X' to each side of the equation. 21 + 7X + -4X = 42 + 4X + -4X Combine like terms: 7X + -4X = 3X 21 + 3X = 42 + 4X + -4X Combine like terms: 4X + -4X = 0 21 + 3X = 42 + 0 21 + 3X = 42 Add '-21' to each side of the equation. 21 + -21 + 3X = 42 + -21 Combine like terms: 21 + -21 = 0 0 + 3X = 42 + -21 3X = 42 + -21 Combine like terms: 42 + -21 = 21 3X = 21 Divide each side by '3'. X = 7 Simplifying X = 7
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