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Simplifying 2[3X + -4X + -6] = 9(X + -6) Reorder the terms: 2[-6 + 3X + -4X] = 9(X + -6) Combine like terms: 3X + -4X = -1X 2[-6 + -1X] = 9(X + -6) [-6 * 2 + -1X * 2] = 9(X + -6) [-12 + -2X] = 9(X + -6) Reorder the terms: -12 + -2X = 9(-6 + X) -12 + -2X = (-6 * 9 + X * 9) -12 + -2X = (-54 + 9X) Solving -12 + -2X = -54 + 9X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-9X' to each side of the equation. -12 + -2X + -9X = -54 + 9X + -9X Combine like terms: -2X + -9X = -11X -12 + -11X = -54 + 9X + -9X Combine like terms: 9X + -9X = 0 -12 + -11X = -54 + 0 -12 + -11X = -54 Add '12' to each side of the equation. -12 + 12 + -11X = -54 + 12 Combine like terms: -12 + 12 = 0 0 + -11X = -54 + 12 -11X = -54 + 12 Combine like terms: -54 + 12 = -42 -11X = -42 Divide each side by '-11'. X = 3.818181818 Simplifying X = 3.818181818
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