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Simplifying x2 + 2 + 3x + a + 2 = 0 Reorder the terms: 2 + 2 + a + 3x + x2 = 0 Combine like terms: 2 + 2 = 4 4 + a + 3x + x2 = 0 Solving 4 + a + 3x + x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + a + 3x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + a + 3x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + a + 3x + x2 = 0 + -4 a + 3x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 a + 3x + x2 = -4 Add '-3x' to each side of the equation. a + 3x + -3x + x2 = -4 + -3x Combine like terms: 3x + -3x = 0 a + 0 + x2 = -4 + -3x a + x2 = -4 + -3x Add '-1x2' to each side of the equation. a + x2 + -1x2 = -4 + -3x + -1x2 Combine like terms: x2 + -1x2 = 0 a + 0 = -4 + -3x + -1x2 a = -4 + -3x + -1x2 Simplifying a = -4 + -3x + -1x2
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