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Simplifying 3X(4x + 3) + -1 = 8x + 4X(x + 2) Reorder the terms: 3X(3 + 4x) + -1 = 8x + 4X(x + 2) (3 * 3X + 4x * 3X) + -1 = 8x + 4X(x + 2) (9X + 12xX) + -1 = 8x + 4X(x + 2) Reorder the terms: -1 + 9X + 12xX = 8x + 4X(x + 2) Reorder the terms: -1 + 9X + 12xX = 8x + 4X(2 + x) -1 + 9X + 12xX = 8x + (2 * 4X + x * 4X) -1 + 9X + 12xX = 8x + (8X + 4xX) Reorder the terms: -1 + 9X + 12xX = 8X + 8x + 4xX Solving -1 + 9X + 12xX = 8X + 8x + 4xX Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8X' to each side of the equation. -1 + 9X + -8X + 12xX = 8X + 8x + -8X + 4xX Combine like terms: 9X + -8X = 1X -1 + 1X + 12xX = 8X + 8x + -8X + 4xX Reorder the terms: -1 + 1X + 12xX = 8X + -8X + 8x + 4xX Combine like terms: 8X + -8X = 0 -1 + 1X + 12xX = 0 + 8x + 4xX -1 + 1X + 12xX = 8x + 4xX Add '-4xX' to each side of the equation. -1 + 1X + 12xX + -4xX = 8x + 4xX + -4xX Combine like terms: 12xX + -4xX = 8xX -1 + 1X + 8xX = 8x + 4xX + -4xX Combine like terms: 4xX + -4xX = 0 -1 + 1X + 8xX = 8x + 0 -1 + 1X + 8xX = 8x Add '1' to each side of the equation. -1 + 1X + 1 + 8xX = 1 + 8x Reorder the terms: -1 + 1 + 1X + 8xX = 1 + 8x Combine like terms: -1 + 1 = 0 0 + 1X + 8xX = 1 + 8x 1X + 8xX = 1 + 8x Reorder the terms: -1 + 1X + -8x + 8xX = 1 + 8x + -1 + -8x Reorder the terms: -1 + 1X + -8x + 8xX = 1 + -1 + 8x + -8x Combine like terms: 1 + -1 = 0 -1 + 1X + -8x + 8xX = 0 + 8x + -8x -1 + 1X + -8x + 8xX = 8x + -8x Combine like terms: 8x + -8x = 0 -1 + 1X + -8x + 8xX = 0 The solution to this equation could not be determined.
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