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Simplifying 3X + 2 + -4X + 1 + 9X = 6X + -1 Reorder the terms: 2 + 1 + 3X + -4X + 9X = 6X + -1 Combine like terms: 2 + 1 = 3 3 + 3X + -4X + 9X = 6X + -1 Combine like terms: 3X + -4X = -1X 3 + -1X + 9X = 6X + -1 Combine like terms: -1X + 9X = 8X 3 + 8X = 6X + -1 Reorder the terms: 3 + 8X = -1 + 6X Solving 3 + 8X = -1 + 6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6X' to each side of the equation. 3 + 8X + -6X = -1 + 6X + -6X Combine like terms: 8X + -6X = 2X 3 + 2X = -1 + 6X + -6X Combine like terms: 6X + -6X = 0 3 + 2X = -1 + 0 3 + 2X = -1 Add '-3' to each side of the equation. 3 + -3 + 2X = -1 + -3 Combine like terms: 3 + -3 = 0 0 + 2X = -1 + -3 2X = -1 + -3 Combine like terms: -1 + -3 = -4 2X = -4 Divide each side by '2'. X = -2 Simplifying X = -2
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