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Simplifying 9 = 4(X + 2) + -1(X + 8) Reorder the terms: 9 = 4(2 + X) + -1(X + 8) 9 = (2 * 4 + X * 4) + -1(X + 8) 9 = (8 + 4X) + -1(X + 8) Reorder the terms: 9 = 8 + 4X + -1(8 + X) 9 = 8 + 4X + (8 * -1 + X * -1) 9 = 8 + 4X + (-8 + -1X) Reorder the terms: 9 = 8 + -8 + 4X + -1X Combine like terms: 8 + -8 = 0 9 = 0 + 4X + -1X 9 = 4X + -1X Combine like terms: 4X + -1X = 3X 9 = 3X Solving 9 = 3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3X' to each side of the equation. 9 + -3X = 3X + -3X Combine like terms: 3X + -3X = 0 9 + -3X = 0 Add '-9' to each side of the equation. 9 + -9 + -3X = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -3X = 0 + -9 -3X = 0 + -9 Combine like terms: 0 + -9 = -9 -3X = -9 Divide each side by '-3'. X = 3 Simplifying X = 3
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