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Simplifying 3x + -1(5a + 3) = a(x + 1) Reorder the terms: 3x + -1(3 + 5a) = a(x + 1) 3x + (3 * -1 + 5a * -1) = a(x + 1) 3x + (-3 + -5a) = a(x + 1) Reorder the terms: -3 + -5a + 3x = a(x + 1) Reorder the terms: -3 + -5a + 3x = a(1 + x) -3 + -5a + 3x = (1 * a + x * a) -3 + -5a + 3x = (1a + ax) Solving -3 + -5a + 3x = 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. -3 + -5a + -1a + 3x = 1a + -1a + ax Combine like terms: -5a + -1a = -6a -3 + -6a + 3x = 1a + -1a + ax Combine like terms: 1a + -1a = 0 -3 + -6a + 3x = 0 + ax -3 + -6a + 3x = ax Add '-1ax' to each side of the equation. -3 + -6a + -1ax + 3x = ax + -1ax Combine like terms: ax + -1ax = 0 -3 + -6a + -1ax + 3x = 0 Add '3' to each side of the equation. -3 + -6a + -1ax + 3 + 3x = 0 + 3 Reorder the terms: -3 + 3 + -6a + -1ax + 3x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -6a + -1ax + 3x = 0 + 3 -6a + -1ax + 3x = 0 + 3 Combine like terms: 0 + 3 = 3 -6a + -1ax + 3x = 3 Add '-3x' to each side of the equation. -6a + -1ax + 3x + -3x = 3 + -3x Combine like terms: 3x + -3x = 0 -6a + -1ax + 0 = 3 + -3x -6a + -1ax = 3 + -3x Reorder the terms: -3 + -6a + -1ax + 3x = 3 + -3x + -3 + 3x Reorder the terms: -3 + -6a + -1ax + 3x = 3 + -3 + -3x + 3x Combine like terms: 3 + -3 = 0 -3 + -6a + -1ax + 3x = 0 + -3x + 3x -3 + -6a + -1ax + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -3 + -6a + -1ax + 3x = 0 The solution to this equation could not be determined.
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