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Simplifying (-2b + -1a + 4) * x = (3a + 2b + -8) Reorder the terms: (4 + -1a + -2b) * x = (3a + 2b + -8) Reorder the terms for easier multiplication: x(4 + -1a + -2b) = (3a + 2b + -8) (4 * x + -1a * x + -2b * x) = (3a + 2b + -8) Reorder the terms: (-1ax + -2bx + 4x) = (3a + 2b + -8) (-1ax + -2bx + 4x) = (3a + 2b + -8) Reorder the terms: -1ax + -2bx + 4x = (-8 + 3a + 2b) Remove parenthesis around (-8 + 3a + 2b) -1ax + -2bx + 4x = -8 + 3a + 2b Solving -1ax + -2bx + 4x = -8 + 3a + 2b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -1ax + -2bx + -3a + 4x = -8 + 3a + -3a + 2b Reorder the terms: -3a + -1ax + -2bx + 4x = -8 + 3a + -3a + 2b Combine like terms: 3a + -3a = 0 -3a + -1ax + -2bx + 4x = -8 + 0 + 2b -3a + -1ax + -2bx + 4x = -8 + 2b Add '2bx' to each side of the equation. -3a + -1ax + -2bx + 2bx + 4x = -8 + 2b + 2bx Combine like terms: -2bx + 2bx = 0 -3a + -1ax + 0 + 4x = -8 + 2b + 2bx -3a + -1ax + 4x = -8 + 2b + 2bx Add '-4x' to each side of the equation. -3a + -1ax + 4x + -4x = -8 + 2b + 2bx + -4x Combine like terms: 4x + -4x = 0 -3a + -1ax + 0 = -8 + 2b + 2bx + -4x -3a + -1ax = -8 + 2b + 2bx + -4x Reorder the terms: 8 + -3a + -1ax + -2b + -2bx + 4x = -8 + 2b + 2bx + -4x + 8 + -2b + -2bx + 4x Reorder the terms: 8 + -3a + -1ax + -2b + -2bx + 4x = -8 + 8 + 2b + -2b + 2bx + -2bx + -4x + 4x Combine like terms: -8 + 8 = 0 8 + -3a + -1ax + -2b + -2bx + 4x = 0 + 2b + -2b + 2bx + -2bx + -4x + 4x 8 + -3a + -1ax + -2b + -2bx + 4x = 2b + -2b + 2bx + -2bx + -4x + 4x Combine like terms: 2b + -2b = 0 8 + -3a + -1ax + -2b + -2bx + 4x = 0 + 2bx + -2bx + -4x + 4x 8 + -3a + -1ax + -2b + -2bx + 4x = 2bx + -2bx + -4x + 4x Combine like terms: 2bx + -2bx = 0 8 + -3a + -1ax + -2b + -2bx + 4x = 0 + -4x + 4x 8 + -3a + -1ax + -2b + -2bx + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 8 + -3a + -1ax + -2b + -2bx + 4x = 0 The solution to this equation could not be determined.
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