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Simplifying f(x + 1) = x2 + -7x + 12 Reorder the terms: f(1 + x) = x2 + -7x + 12 (1 * f + x * f) = x2 + -7x + 12 (1f + fx) = x2 + -7x + 12 Reorder the terms: 1f + fx = 12 + -7x + x2 Solving 1f + fx = 12 + -7x + x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Reorder the terms: -12 + 1f + fx + 7x + -1x2 = 12 + -7x + x2 + -12 + 7x + -1x2 Reorder the terms: -12 + 1f + fx + 7x + -1x2 = 12 + -12 + -7x + 7x + x2 + -1x2 Combine like terms: 12 + -12 = 0 -12 + 1f + fx + 7x + -1x2 = 0 + -7x + 7x + x2 + -1x2 -12 + 1f + fx + 7x + -1x2 = -7x + 7x + x2 + -1x2 Combine like terms: -7x + 7x = 0 -12 + 1f + fx + 7x + -1x2 = 0 + x2 + -1x2 -12 + 1f + fx + 7x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -12 + 1f + fx + 7x + -1x2 = 0 The solution to this equation could not be determined.
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