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Simplifying X + -1(3X + 6) = 12X + (X + -9) + 11X Reorder the terms: X + -1(6 + 3X) = 12X + (X + -9) + 11X X + (6 * -1 + 3X * -1) = 12X + (X + -9) + 11X X + (-6 + -3X) = 12X + (X + -9) + 11X Reorder the terms: -6 + X + -3X = 12X + (X + -9) + 11X Combine like terms: X + -3X = -2X -6 + -2X = 12X + (X + -9) + 11X Reorder the terms: -6 + -2X = 12X + (-9 + X) + 11X Remove parenthesis around (-9 + X) -6 + -2X = 12X + -9 + X + 11X Reorder the terms: -6 + -2X = -9 + 12X + X + 11X Combine like terms: 12X + X = 13X -6 + -2X = -9 + 13X + 11X Combine like terms: 13X + 11X = 24X -6 + -2X = -9 + 24X Solving -6 + -2X = -9 + 24X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-24X' to each side of the equation. -6 + -2X + -24X = -9 + 24X + -24X Combine like terms: -2X + -24X = -26X -6 + -26X = -9 + 24X + -24X Combine like terms: 24X + -24X = 0 -6 + -26X = -9 + 0 -6 + -26X = -9 Add '6' to each side of the equation. -6 + 6 + -26X = -9 + 6 Combine like terms: -6 + 6 = 0 0 + -26X = -9 + 6 -26X = -9 + 6 Combine like terms: -9 + 6 = -3 -26X = -3 Divide each side by '-26'. X = 0.1153846154 Simplifying X = 0.1153846154
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