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Simplifying 2a(x + 1) + 3(x + -1) = 0 Reorder the terms: 2a(1 + x) + 3(x + -1) = 0 (1 * 2a + x * 2a) + 3(x + -1) = 0 (2a + 2ax) + 3(x + -1) = 0 Reorder the terms: 2a + 2ax + 3(-1 + x) = 0 2a + 2ax + (-1 * 3 + x * 3) = 0 2a + 2ax + (-3 + 3x) = 0 Reorder the terms: -3 + 2a + 2ax + 3x = 0 Solving -3 + 2a + 2ax + 3x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 2a + 2ax + 3 + 3x = 0 + 3 Reorder the terms: -3 + 3 + 2a + 2ax + 3x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2a + 2ax + 3x = 0 + 3 2a + 2ax + 3x = 0 + 3 Combine like terms: 0 + 3 = 3 2a + 2ax + 3x = 3 Add '-3x' to each side of the equation. 2a + 2ax + 3x + -3x = 3 + -3x Combine like terms: 3x + -3x = 0 2a + 2ax + 0 = 3 + -3x 2a + 2ax = 3 + -3x Reorder the terms: -3 + 2a + 2ax + 3x = 3 + -3x + -3 + 3x Reorder the terms: -3 + 2a + 2ax + 3x = 3 + -3 + -3x + 3x Combine like terms: 3 + -3 = 0 -3 + 2a + 2ax + 3x = 0 + -3x + 3x -3 + 2a + 2ax + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -3 + 2a + 2ax + 3x = 0 The solution to this equation could not be determined.
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