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Simplifying 9 = 5(X + -4) + -1(X + -5) Reorder the terms: 9 = 5(-4 + X) + -1(X + -5) 9 = (-4 * 5 + X * 5) + -1(X + -5) 9 = (-20 + 5X) + -1(X + -5) Reorder the terms: 9 = -20 + 5X + -1(-5 + X) 9 = -20 + 5X + (-5 * -1 + X * -1) 9 = -20 + 5X + (5 + -1X) Reorder the terms: 9 = -20 + 5 + 5X + -1X Combine like terms: -20 + 5 = -15 9 = -15 + 5X + -1X Combine like terms: 5X + -1X = 4X 9 = -15 + 4X Solving 9 = -15 + 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. 9 + -4X = -15 + 4X + -4X Combine like terms: 4X + -4X = 0 9 + -4X = -15 + 0 9 + -4X = -15 Add '-9' to each side of the equation. 9 + -9 + -4X = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -4X = -15 + -9 -4X = -15 + -9 Combine like terms: -15 + -9 = -24 -4X = -24 Divide each side by '-4'. X = 6 Simplifying X = 6
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