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Simplifying x2 + -7x + (6 + a) = 0 Remove parenthesis around (6 + a) x2 + -7x + 6 + a = 0 Reorder the terms: 6 + a + -7x + x2 = 0 Solving 6 + a + -7x + x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + a + -7x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + a + -7x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + a + -7x + x2 = 0 + -6 a + -7x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 a + -7x + x2 = -6 Add '7x' to each side of the equation. a + -7x + 7x + x2 = -6 + 7x Combine like terms: -7x + 7x = 0 a + 0 + x2 = -6 + 7x a + x2 = -6 + 7x Add '-1x2' to each side of the equation. a + x2 + -1x2 = -6 + 7x + -1x2 Combine like terms: x2 + -1x2 = 0 a + 0 = -6 + 7x + -1x2 a = -6 + 7x + -1x2 Simplifying a = -6 + 7x + -1x2
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