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Simplifying -6(X + -4) = 3(X + 9) Reorder the terms: -6(-4 + X) = 3(X + 9) (-4 * -6 + X * -6) = 3(X + 9) (24 + -6X) = 3(X + 9) Reorder the terms: 24 + -6X = 3(9 + X) 24 + -6X = (9 * 3 + X * 3) 24 + -6X = (27 + 3X) Solving 24 + -6X = 27 + 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. 24 + -6X + -3X = 27 + 3X + -3X Combine like terms: -6X + -3X = -9X 24 + -9X = 27 + 3X + -3X Combine like terms: 3X + -3X = 0 24 + -9X = 27 + 0 24 + -9X = 27 Add '-24' to each side of the equation. 24 + -24 + -9X = 27 + -24 Combine like terms: 24 + -24 = 0 0 + -9X = 27 + -24 -9X = 27 + -24 Combine like terms: 27 + -24 = 3 -9X = 3 Divide each side by '-9'. X = -0.3333333333 Simplifying X = -0.3333333333
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