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Simplifying a(x + -1) + -1(a + 3)(x + -1) = 0 Reorder the terms: a(-1 + x) + -1(a + 3)(x + -1) = 0 (-1 * a + x * a) + -1(a + 3)(x + -1) = 0 (-1a + ax) + -1(a + 3)(x + -1) = 0 Reorder the terms: -1a + ax + -1(3 + a)(x + -1) = 0 Reorder the terms: -1a + ax + -1(3 + a)(-1 + x) = 0 Multiply (3 + a) * (-1 + x) -1a + ax + -1(3(-1 + x) + a(-1 + x)) = 0 -1a + ax + -1((-1 * 3 + x * 3) + a(-1 + x)) = 0 -1a + ax + -1((-3 + 3x) + a(-1 + x)) = 0 -1a + ax + -1(-3 + 3x + (-1 * a + x * a)) = 0 -1a + ax + -1(-3 + 3x + (-1a + ax)) = 0 Reorder the terms: -1a + ax + -1(-3 + -1a + ax + 3x) = 0 -1a + ax + -1(-3 + -1a + ax + 3x) = 0 -1a + ax + (-3 * -1 + -1a * -1 + ax * -1 + 3x * -1) = 0 -1a + ax + (3 + 1a + -1ax + -3x) = 0 Reorder the terms: 3 + -1a + 1a + ax + -1ax + -3x = 0 Combine like terms: -1a + 1a = 0 3 + 0 + ax + -1ax + -3x = 0 3 + ax + -1ax + -3x = 0 Combine like terms: ax + -1ax = 0 3 + 0 + -3x = 0 3 + -3x = 0 Solving 3 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -3x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = 0 + -3 -3x = 0 + -3 Combine like terms: 0 + -3 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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