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Simplifying x(a + -4) = 3(5 + -1a) Reorder the terms: x(-4 + a) = 3(5 + -1a) (-4 * x + a * x) = 3(5 + -1a) Reorder the terms: (ax + -4x) = 3(5 + -1a) (ax + -4x) = 3(5 + -1a) ax + -4x = (5 * 3 + -1a * 3) ax + -4x = (15 + -3a) Solving ax + -4x = 15 + -3a 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. ax + 3a + -4x = 15 + -3a + 3a Reorder the terms: 3a + ax + -4x = 15 + -3a + 3a Combine like terms: -3a + 3a = 0 3a + ax + -4x = 15 + 0 3a + ax + -4x = 15 Add '4x' to each side of the equation. 3a + ax + -4x + 4x = 15 + 4x Combine like terms: -4x + 4x = 0 3a + ax + 0 = 15 + 4x 3a + ax = 15 + 4x Reorder the terms: -15 + 3a + ax + -4x = 15 + 4x + -15 + -4x Reorder the terms: -15 + 3a + ax + -4x = 15 + -15 + 4x + -4x Combine like terms: 15 + -15 = 0 -15 + 3a + ax + -4x = 0 + 4x + -4x -15 + 3a + ax + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 -15 + 3a + ax + -4x = 0 The solution to this equation could not be determined.
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