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Simplifying 4x + -1(4a + 8) = a(x + 1) Reorder the terms: 4x + -1(8 + 4a) = a(x + 1) 4x + (8 * -1 + 4a * -1) = a(x + 1) 4x + (-8 + -4a) = a(x + 1) Reorder the terms: -8 + -4a + 4x = a(x + 1) Reorder the terms: -8 + -4a + 4x = a(1 + x) -8 + -4a + 4x = (1 * a + x * a) -8 + -4a + 4x = (1a + ax) Solving -8 + -4a + 4x = 1a + ax Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -8 + -4a + -1a + 4x = 1a + -1a + ax Combine like terms: -4a + -1a = -5a -8 + -5a + 4x = 1a + -1a + ax Combine like terms: 1a + -1a = 0 -8 + -5a + 4x = 0 + ax -8 + -5a + 4x = ax Add '-1ax' to each side of the equation. -8 + -5a + -1ax + 4x = ax + -1ax Combine like terms: ax + -1ax = 0 -8 + -5a + -1ax + 4x = 0 Add '8' to each side of the equation. -8 + -5a + -1ax + 8 + 4x = 0 + 8 Reorder the terms: -8 + 8 + -5a + -1ax + 4x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5a + -1ax + 4x = 0 + 8 -5a + -1ax + 4x = 0 + 8 Combine like terms: 0 + 8 = 8 -5a + -1ax + 4x = 8 Add '-4x' to each side of the equation. -5a + -1ax + 4x + -4x = 8 + -4x Combine like terms: 4x + -4x = 0 -5a + -1ax + 0 = 8 + -4x -5a + -1ax = 8 + -4x Reorder the terms: -8 + -5a + -1ax + 4x = 8 + -4x + -8 + 4x Reorder the terms: -8 + -5a + -1ax + 4x = 8 + -8 + -4x + 4x Combine like terms: 8 + -8 = 0 -8 + -5a + -1ax + 4x = 0 + -4x + 4x -8 + -5a + -1ax + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 -8 + -5a + -1ax + 4x = 0 The solution to this equation could not be determined.
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