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Simplifying x(a + 1) + -1x(a + -1) = a + 4 Reorder the terms: x(1 + a) + -1x(a + -1) = a + 4 (1 * x + a * x) + -1x(a + -1) = a + 4 Reorder the terms: (ax + 1x) + -1x(a + -1) = a + 4 (ax + 1x) + -1x(a + -1) = a + 4 Reorder the terms: ax + 1x + -1x(-1 + a) = a + 4 ax + 1x + (-1 * -1x + a * -1x) = a + 4 Reorder the terms: ax + 1x + (-1ax + 1x) = a + 4 ax + 1x + (-1ax + 1x) = a + 4 Reorder the terms: ax + -1ax + 1x + 1x = a + 4 Combine like terms: ax + -1ax = 0 0 + 1x + 1x = a + 4 1x + 1x = a + 4 Combine like terms: 1x + 1x = 2x 2x = a + 4 Reorder the terms: 2x = 4 + a Solving 2x = 4 + a Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '2'. x = 2 + 0.5a Simplifying x = 2 + 0.5a
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