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Simplifying 9X + -6(X + -2) = 4(3X + -1) + -2 Reorder the terms: 9X + -6(-2 + X) = 4(3X + -1) + -2 9X + (-2 * -6 + X * -6) = 4(3X + -1) + -2 9X + (12 + -6X) = 4(3X + -1) + -2 Reorder the terms: 12 + 9X + -6X = 4(3X + -1) + -2 Combine like terms: 9X + -6X = 3X 12 + 3X = 4(3X + -1) + -2 Reorder the terms: 12 + 3X = 4(-1 + 3X) + -2 12 + 3X = (-1 * 4 + 3X * 4) + -2 12 + 3X = (-4 + 12X) + -2 Reorder the terms: 12 + 3X = -4 + -2 + 12X Combine like terms: -4 + -2 = -6 12 + 3X = -6 + 12X Solving 12 + 3X = -6 + 12X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12X' to each side of the equation. 12 + 3X + -12X = -6 + 12X + -12X Combine like terms: 3X + -12X = -9X 12 + -9X = -6 + 12X + -12X Combine like terms: 12X + -12X = 0 12 + -9X = -6 + 0 12 + -9X = -6 Add '-12' to each side of the equation. 12 + -12 + -9X = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -9X = -6 + -12 -9X = -6 + -12 Combine like terms: -6 + -12 = -18 -9X = -18 Divide each side by '-9'. X = 2 Simplifying X = 2
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