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Simplifying -4X + 8 + -6(X + -1) = -1(3X + -4) + -6X + 6 Reorder the terms: -4X + 8 + -6(-1 + X) = -1(3X + -4) + -6X + 6 -4X + 8 + (-1 * -6 + X * -6) = -1(3X + -4) + -6X + 6 -4X + 8 + (6 + -6X) = -1(3X + -4) + -6X + 6 Reorder the terms: 8 + 6 + -4X + -6X = -1(3X + -4) + -6X + 6 Combine like terms: 8 + 6 = 14 14 + -4X + -6X = -1(3X + -4) + -6X + 6 Combine like terms: -4X + -6X = -10X 14 + -10X = -1(3X + -4) + -6X + 6 Reorder the terms: 14 + -10X = -1(-4 + 3X) + -6X + 6 14 + -10X = (-4 * -1 + 3X * -1) + -6X + 6 14 + -10X = (4 + -3X) + -6X + 6 Reorder the terms: 14 + -10X = 4 + 6 + -3X + -6X Combine like terms: 4 + 6 = 10 14 + -10X = 10 + -3X + -6X Combine like terms: -3X + -6X = -9X 14 + -10X = 10 + -9X Solving 14 + -10X = 10 + -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. 14 + -10X + 9X = 10 + -9X + 9X Combine like terms: -10X + 9X = -1X 14 + -1X = 10 + -9X + 9X Combine like terms: -9X + 9X = 0 14 + -1X = 10 + 0 14 + -1X = 10 Add '-14' to each side of the equation. 14 + -14 + -1X = 10 + -14 Combine like terms: 14 + -14 = 0 0 + -1X = 10 + -14 -1X = 10 + -14 Combine like terms: 10 + -14 = -4 -1X = -4 Divide each side by '-1'. X = 4 Simplifying X = 4
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