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Simplifying 3x(a + -1) + -7(a + -1) = 0 Reorder the terms: 3x(-1 + a) + -7(a + -1) = 0 (-1 * 3x + a * 3x) + -7(a + -1) = 0 Reorder the terms: (3ax + -3x) + -7(a + -1) = 0 (3ax + -3x) + -7(a + -1) = 0 Reorder the terms: 3ax + -3x + -7(-1 + a) = 0 3ax + -3x + (-1 * -7 + a * -7) = 0 3ax + -3x + (7 + -7a) = 0 Reorder the terms: 7 + -7a + 3ax + -3x = 0 Solving 7 + -7a + 3ax + -3x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7a + 3ax + -7 + -3x = 0 + -7 Reorder the terms: 7 + -7 + -7a + 3ax + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -7a + 3ax + -3x = 0 + -7 -7a + 3ax + -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -7a + 3ax + -3x = -7 Add '3x' to each side of the equation. -7a + 3ax + -3x + 3x = -7 + 3x Combine like terms: -3x + 3x = 0 -7a + 3ax + 0 = -7 + 3x -7a + 3ax = -7 + 3x Reorder the terms: 7 + -7a + 3ax + -3x = -7 + 3x + 7 + -3x Reorder the terms: 7 + -7a + 3ax + -3x = -7 + 7 + 3x + -3x Combine like terms: -7 + 7 = 0 7 + -7a + 3ax + -3x = 0 + 3x + -3x 7 + -7a + 3ax + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 7 + -7a + 3ax + -3x = 0 The solution to this equation could not be determined.
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