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Simplifying x3 + -6x2 + (a + 7) * x + -2a + 2 = 0 Reorder the terms: x3 + -6x2 + (7 + a) * x + -2a + 2 = 0 Reorder the terms for easier multiplication: x3 + -6x2 + x(7 + a) + -2a + 2 = 0 x3 + -6x2 + (7 * x + a * x) + -2a + 2 = 0 Reorder the terms: x3 + -6x2 + (ax + 7x) + -2a + 2 = 0 x3 + -6x2 + (ax + 7x) + -2a + 2 = 0 Reorder the terms: 2 + -2a + ax + 7x + -6x2 + x3 = 0 Solving 2 + -2a + ax + 7x + -6x2 + x3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2a + ax + 7x + -6x2 + -2 + x3 = 0 + -2 Reorder the terms: 2 + -2 + -2a + ax + 7x + -6x2 + x3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2a + ax + 7x + -6x2 + x3 = 0 + -2 -2a + ax + 7x + -6x2 + x3 = 0 + -2 Combine like terms: 0 + -2 = -2 -2a + ax + 7x + -6x2 + x3 = -2 Add '-7x' to each side of the equation. -2a + ax + 7x + -6x2 + -7x + x3 = -2 + -7x Reorder the terms: -2a + ax + 7x + -7x + -6x2 + x3 = -2 + -7x Combine like terms: 7x + -7x = 0 -2a + ax + 0 + -6x2 + x3 = -2 + -7x -2a + ax + -6x2 + x3 = -2 + -7x Add '6x2' to each side of the equation. -2a + ax + -6x2 + 6x2 + x3 = -2 + -7x + 6x2 Combine like terms: -6x2 + 6x2 = 0 -2a + ax + 0 + x3 = -2 + -7x + 6x2 -2a + ax + x3 = -2 + -7x + 6x2 Add '-1x3' to each side of the equation. -2a + ax + x3 + -1x3 = -2 + -7x + 6x2 + -1x3 Combine like terms: x3 + -1x3 = 0 -2a + ax + 0 = -2 + -7x + 6x2 + -1x3 -2a + ax = -2 + -7x + 6x2 + -1x3 Reorder the terms: 2 + -2a + ax + 7x + -6x2 + x3 = -2 + -7x + 6x2 + -1x3 + 2 + 7x + -6x2 + x3 Reorder the terms: 2 + -2a + ax + 7x + -6x2 + x3 = -2 + 2 + -7x + 7x + 6x2 + -6x2 + -1x3 + x3 Combine like terms: -2 + 2 = 0 2 + -2a + ax + 7x + -6x2 + x3 = 0 + -7x + 7x + 6x2 + -6x2 + -1x3 + x3 2 + -2a + ax + 7x + -6x2 + x3 = -7x + 7x + 6x2 + -6x2 + -1x3 + x3 Combine like terms: -7x + 7x = 0 2 + -2a + ax + 7x + -6x2 + x3 = 0 + 6x2 + -6x2 + -1x3 + x3 2 + -2a + ax + 7x + -6x2 + x3 = 6x2 + -6x2 + -1x3 + x3 Combine like terms: 6x2 + -6x2 = 0 2 + -2a + ax + 7x + -6x2 + x3 = 0 + -1x3 + x3 2 + -2a + ax + 7x + -6x2 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 2 + -2a + ax + 7x + -6x2 + x3 = 0 The solution to this equation could not be determined.
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