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