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Simplifying 4(X + 7) = 5(X + 6) Reorder the terms: 4(7 + X) = 5(X + 6) (7 * 4 + X * 4) = 5(X + 6) (28 + 4X) = 5(X + 6) Reorder the terms: 28 + 4X = 5(6 + X) 28 + 4X = (6 * 5 + X * 5) 28 + 4X = (30 + 5X) Solving 28 + 4X = 30 + 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. 28 + 4X + -5X = 30 + 5X + -5X Combine like terms: 4X + -5X = -1X 28 + -1X = 30 + 5X + -5X Combine like terms: 5X + -5X = 0 28 + -1X = 30 + 0 28 + -1X = 30 Add '-28' to each side of the equation. 28 + -28 + -1X = 30 + -28 Combine like terms: 28 + -28 = 0 0 + -1X = 30 + -28 -1X = 30 + -28 Combine like terms: 30 + -28 = 2 -1X = 2 Divide each side by '-1'. X = -2 Simplifying X = -2
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