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Simplifying 9(X + 2) = 5(X + 4) + -10 Reorder the terms: 9(2 + X) = 5(X + 4) + -10 (2 * 9 + X * 9) = 5(X + 4) + -10 (18 + 9X) = 5(X + 4) + -10 Reorder the terms: 18 + 9X = 5(4 + X) + -10 18 + 9X = (4 * 5 + X * 5) + -10 18 + 9X = (20 + 5X) + -10 Reorder the terms: 18 + 9X = 20 + -10 + 5X Combine like terms: 20 + -10 = 10 18 + 9X = 10 + 5X Solving 18 + 9X = 10 + 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. 18 + 9X + -5X = 10 + 5X + -5X Combine like terms: 9X + -5X = 4X 18 + 4X = 10 + 5X + -5X Combine like terms: 5X + -5X = 0 18 + 4X = 10 + 0 18 + 4X = 10 Add '-18' to each side of the equation. 18 + -18 + 4X = 10 + -18 Combine like terms: 18 + -18 = 0 0 + 4X = 10 + -18 4X = 10 + -18 Combine like terms: 10 + -18 = -8 4X = -8 Divide each side by '4'. X = -2 Simplifying X = -2
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