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Simplifying (-1X + -5) + 5(X + -9) = 2(X + 8) + -1(2X + 5) Reorder the terms: (-5 + -1X) + 5(X + -9) = 2(X + 8) + -1(2X + 5) Remove parenthesis around (-5 + -1X) -5 + -1X + 5(X + -9) = 2(X + 8) + -1(2X + 5) Reorder the terms: -5 + -1X + 5(-9 + X) = 2(X + 8) + -1(2X + 5) -5 + -1X + (-9 * 5 + X * 5) = 2(X + 8) + -1(2X + 5) -5 + -1X + (-45 + 5X) = 2(X + 8) + -1(2X + 5) Reorder the terms: -5 + -45 + -1X + 5X = 2(X + 8) + -1(2X + 5) Combine like terms: -5 + -45 = -50 -50 + -1X + 5X = 2(X + 8) + -1(2X + 5) Combine like terms: -1X + 5X = 4X -50 + 4X = 2(X + 8) + -1(2X + 5) Reorder the terms: -50 + 4X = 2(8 + X) + -1(2X + 5) -50 + 4X = (8 * 2 + X * 2) + -1(2X + 5) -50 + 4X = (16 + 2X) + -1(2X + 5) Reorder the terms: -50 + 4X = 16 + 2X + -1(5 + 2X) -50 + 4X = 16 + 2X + (5 * -1 + 2X * -1) -50 + 4X = 16 + 2X + (-5 + -2X) Reorder the terms: -50 + 4X = 16 + -5 + 2X + -2X Combine like terms: 16 + -5 = 11 -50 + 4X = 11 + 2X + -2X Combine like terms: 2X + -2X = 0 -50 + 4X = 11 + 0 -50 + 4X = 11 Solving -50 + 4X = 11 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 4X = 11 + 50 Combine like terms: -50 + 50 = 0 0 + 4X = 11 + 50 4X = 11 + 50 Combine like terms: 11 + 50 = 61 4X = 61 Divide each side by '4'. X = 15.25 Simplifying X = 15.25
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