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Simplifying (3a + -2) * x + -1a + 3 = x + 8 Reorder the terms: (-2 + 3a) * x + -1a + 3 = x + 8 Reorder the terms for easier multiplication: x(-2 + 3a) + -1a + 3 = x + 8 (-2 * x + 3a * x) + -1a + 3 = x + 8 Reorder the terms: (3ax + -2x) + -1a + 3 = x + 8 (3ax + -2x) + -1a + 3 = x + 8 Reorder the terms: 3 + -1a + 3ax + -2x = x + 8 Reorder the terms: 3 + -1a + 3ax + -2x = 8 + x Solving 3 + -1a + 3ax + -2x = 8 + x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -1a + 3ax + -3 + -2x = 8 + -3 + x Reorder the terms: 3 + -3 + -1a + 3ax + -2x = 8 + -3 + x Combine like terms: 3 + -3 = 0 0 + -1a + 3ax + -2x = 8 + -3 + x -1a + 3ax + -2x = 8 + -3 + x Combine like terms: 8 + -3 = 5 -1a + 3ax + -2x = 5 + x Add '2x' to each side of the equation. -1a + 3ax + -2x + 2x = 5 + x + 2x Combine like terms: -2x + 2x = 0 -1a + 3ax + 0 = 5 + x + 2x -1a + 3ax = 5 + x + 2x Combine like terms: x + 2x = 3x -1a + 3ax = 5 + 3x Reorder the terms: -5 + -1a + 3ax + -3x = 5 + 3x + -5 + -3x Reorder the terms: -5 + -1a + 3ax + -3x = 5 + -5 + 3x + -3x Combine like terms: 5 + -5 = 0 -5 + -1a + 3ax + -3x = 0 + 3x + -3x -5 + -1a + 3ax + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 -5 + -1a + 3ax + -3x = 0 The solution to this equation could not be determined.
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