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Simplifying f(x + 6) = x2 + 12x + 36 + 6x + 36 + -4 Reorder the terms: f(6 + x) = x2 + 12x + 36 + 6x + 36 + -4 (6 * f + x * f) = x2 + 12x + 36 + 6x + 36 + -4 (6f + fx) = x2 + 12x + 36 + 6x + 36 + -4 Reorder the terms: 6f + fx = 36 + 36 + -4 + 12x + 6x + x2 Combine like terms: 36 + 36 = 72 6f + fx = 72 + -4 + 12x + 6x + x2 Combine like terms: 72 + -4 = 68 6f + fx = 68 + 12x + 6x + x2 Combine like terms: 12x + 6x = 18x 6f + fx = 68 + 18x + x2 Solving 6f + fx = 68 + 18x + x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Reorder the terms: -68 + 6f + fx + -18x + -1x2 = 68 + 18x + x2 + -68 + -18x + -1x2 Reorder the terms: -68 + 6f + fx + -18x + -1x2 = 68 + -68 + 18x + -18x + x2 + -1x2 Combine like terms: 68 + -68 = 0 -68 + 6f + fx + -18x + -1x2 = 0 + 18x + -18x + x2 + -1x2 -68 + 6f + fx + -18x + -1x2 = 18x + -18x + x2 + -1x2 Combine like terms: 18x + -18x = 0 -68 + 6f + fx + -18x + -1x2 = 0 + x2 + -1x2 -68 + 6f + fx + -18x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -68 + 6f + fx + -18x + -1x2 = 0 The solution to this equation could not be determined.
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