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Simplifying f(x + 4) = x2 + 8(x + 4) + 6 Reorder the terms: f(4 + x) = x2 + 8(x + 4) + 6 (4 * f + x * f) = x2 + 8(x + 4) + 6 (4f + fx) = x2 + 8(x + 4) + 6 Reorder the terms: 4f + fx = x2 + 8(4 + x) + 6 4f + fx = x2 + (4 * 8 + x * 8) + 6 4f + fx = x2 + (32 + 8x) + 6 Reorder the terms: 4f + fx = 32 + 6 + 8x + x2 Combine like terms: 32 + 6 = 38 4f + fx = 38 + 8x + x2 Solving 4f + fx = 38 + 8x + x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Reorder the terms: -38 + 4f + fx + -8x + -1x2 = 38 + 8x + x2 + -38 + -8x + -1x2 Reorder the terms: -38 + 4f + fx + -8x + -1x2 = 38 + -38 + 8x + -8x + x2 + -1x2 Combine like terms: 38 + -38 = 0 -38 + 4f + fx + -8x + -1x2 = 0 + 8x + -8x + x2 + -1x2 -38 + 4f + fx + -8x + -1x2 = 8x + -8x + x2 + -1x2 Combine like terms: 8x + -8x = 0 -38 + 4f + fx + -8x + -1x2 = 0 + x2 + -1x2 -38 + 4f + fx + -8x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -38 + 4f + fx + -8x + -1x2 = 0 The solution to this equation could not be determined.
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