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Simplifying (x + -7)(x2 + 6x + 4) = -1(x + -7) Reorder the terms: (-7 + x)(x2 + 6x + 4) = -1(x + -7) Reorder the terms: (-7 + x)(4 + 6x + x2) = -1(x + -7) Multiply (-7 + x) * (4 + 6x + x2) (-7(4 + 6x + x2) + x(4 + 6x + x2)) = -1(x + -7) ((4 * -7 + 6x * -7 + x2 * -7) + x(4 + 6x + x2)) = -1(x + -7) ((-28 + -42x + -7x2) + x(4 + 6x + x2)) = -1(x + -7) (-28 + -42x + -7x2 + (4 * x + 6x * x + x2 * x)) = -1(x + -7) (-28 + -42x + -7x2 + (4x + 6x2 + x3)) = -1(x + -7) Reorder the terms: (-28 + -42x + 4x + -7x2 + 6x2 + x3) = -1(x + -7) Combine like terms: -42x + 4x = -38x (-28 + -38x + -7x2 + 6x2 + x3) = -1(x + -7) Combine like terms: -7x2 + 6x2 = -1x2 (-28 + -38x + -1x2 + x3) = -1(x + -7) Reorder the terms: -28 + -38x + -1x2 + x3 = -1(-7 + x) -28 + -38x + -1x2 + x3 = (-7 * -1 + x * -1) -28 + -38x + -1x2 + x3 = (7 + -1x) Solving -28 + -38x + -1x2 + x3 = 7 + -1x Solving for variable 'x'. Reorder the terms: -28 + -7 + -38x + x + -1x2 + x3 = 7 + -1x + -7 + x Combine like terms: -28 + -7 = -35 -35 + -38x + x + -1x2 + x3 = 7 + -1x + -7 + x Combine like terms: -38x + x = -37x -35 + -37x + -1x2 + x3 = 7 + -1x + -7 + x Reorder the terms: -35 + -37x + -1x2 + x3 = 7 + -7 + -1x + x Combine like terms: 7 + -7 = 0 -35 + -37x + -1x2 + x3 = 0 + -1x + x -35 + -37x + -1x2 + x3 = -1x + x Combine like terms: -1x + x = 0 -35 + -37x + -1x2 + x3 = 0 The solution to this equation could not be determined.
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