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Simplifying x(a + 1) + -1x(a + 1) = 2a + 4 Reorder the terms: x(1 + a) + -1x(a + 1) = 2a + 4 (1 * x + a * x) + -1x(a + 1) = 2a + 4 Reorder the terms: (ax + 1x) + -1x(a + 1) = 2a + 4 (ax + 1x) + -1x(a + 1) = 2a + 4 Reorder the terms: ax + 1x + -1x(1 + a) = 2a + 4 ax + 1x + (1 * -1x + a * -1x) = 2a + 4 Reorder the terms: ax + 1x + (-1ax + -1x) = 2a + 4 ax + 1x + (-1ax + -1x) = 2a + 4 Reorder the terms: ax + -1ax + 1x + -1x = 2a + 4 Combine like terms: ax + -1ax = 0 0 + 1x + -1x = 2a + 4 1x + -1x = 2a + 4 Combine like terms: 1x + -1x = 0 0 = 2a + 4 Reorder the terms: 0 = 4 + 2a Solving 0 = 4 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 0 + -2a = 4 + 2a + -2a Remove the zero: -2a = 4 + 2a + -2a Combine like terms: 2a + -2a = 0 -2a = 4 + 0 -2a = 4 Divide each side by '-2'. a = -2 Simplifying a = -2
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