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Simplifying X + -1a + 2 = 2aX + -3X + 5a Reorder the terms: 2 + X + -1a = 2aX + -3X + 5a Reorder the terms: 2 + X + -1a = -3X + 5a + 2aX Solving 2 + X + -1a = -3X + 5a + 2aX Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '3X' to each side of the equation. 2 + X + 3X + -1a = -3X + 5a + 3X + 2aX Combine like terms: X + 3X = 4X 2 + 4X + -1a = -3X + 5a + 3X + 2aX Reorder the terms: 2 + 4X + -1a = -3X + 3X + 5a + 2aX Combine like terms: -3X + 3X = 0 2 + 4X + -1a = 0 + 5a + 2aX 2 + 4X + -1a = 5a + 2aX Add '-2aX' to each side of the equation. 2 + 4X + -1a + -2aX = 5a + 2aX + -2aX Combine like terms: 2aX + -2aX = 0 2 + 4X + -1a + -2aX = 5a + 0 2 + 4X + -1a + -2aX = 5a Add '-2' to each side of the equation. 2 + 4X + -1a + -2 + -2aX = -2 + 5a Reorder the terms: 2 + -2 + 4X + -1a + -2aX = -2 + 5a Combine like terms: 2 + -2 = 0 0 + 4X + -1a + -2aX = -2 + 5a 4X + -1a + -2aX = -2 + 5a Add 'a' to each side of the equation. 4X + -1a + a + -2aX = -2 + 5a + a Combine like terms: -1a + a = 0 4X + 0 + -2aX = -2 + 5a + a 4X + -2aX = -2 + 5a + a Combine like terms: 5a + a = 6a 4X + -2aX = -2 + 6a Reorder the terms: 2 + 4X + -6a + -2aX = -2 + 6a + 2 + -6a Reorder the terms: 2 + 4X + -6a + -2aX = -2 + 2 + 6a + -6a Combine like terms: -2 + 2 = 0 2 + 4X + -6a + -2aX = 0 + 6a + -6a 2 + 4X + -6a + -2aX = 6a + -6a Combine like terms: 6a + -6a = 0 2 + 4X + -6a + -2aX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1 + 2X + -3a + -1aX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + 2X + -3a + -1aX)' equal to zero and attempt to solve: Simplifying 1 + 2X + -3a + -1aX = 0 Solving 1 + 2X + -3a + -1aX = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2X + -3a + -1 + -1aX = 0 + -1 Reorder the terms: 1 + -1 + 2X + -3a + -1aX = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2X + -3a + -1aX = 0 + -1 2X + -3a + -1aX = 0 + -1 Combine like terms: 0 + -1 = -1 2X + -3a + -1aX = -1 Add '3a' to each side of the equation. 2X + -3a + 3a + -1aX = -1 + 3a Combine like terms: -3a + 3a = 0 2X + 0 + -1aX = -1 + 3a 2X + -1aX = -1 + 3a The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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