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Simplifying 5(X + 7) = X + 51 Reorder the terms: 5(7 + X) = X + 51 (7 * 5 + X * 5) = X + 51 (35 + 5X) = X + 51 Reorder the terms: 35 + 5X = 51 + X Solving 35 + 5X = 51 + X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1X' to each side of the equation. 35 + 5X + -1X = 51 + X + -1X Combine like terms: 5X + -1X = 4X 35 + 4X = 51 + X + -1X Combine like terms: X + -1X = 0 35 + 4X = 51 + 0 35 + 4X = 51 Add '-35' to each side of the equation. 35 + -35 + 4X = 51 + -35 Combine like terms: 35 + -35 = 0 0 + 4X = 51 + -35 4X = 51 + -35 Combine like terms: 51 + -35 = 16 4X = 16 Divide each side by '4'. X = 4 Simplifying X = 4
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