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Simplifying f(x + 1) = 3x2 + 5x + 7 Reorder the terms: f(1 + x) = 3x2 + 5x + 7 (1 * f + x * f) = 3x2 + 5x + 7 (1f + fx) = 3x2 + 5x + 7 Reorder the terms: 1f + fx = 7 + 5x + 3x2 Solving 1f + fx = 7 + 5x + 3x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Reorder the terms: -7 + 1f + fx + -5x + -3x2 = 7 + 5x + 3x2 + -7 + -5x + -3x2 Reorder the terms: -7 + 1f + fx + -5x + -3x2 = 7 + -7 + 5x + -5x + 3x2 + -3x2 Combine like terms: 7 + -7 = 0 -7 + 1f + fx + -5x + -3x2 = 0 + 5x + -5x + 3x2 + -3x2 -7 + 1f + fx + -5x + -3x2 = 5x + -5x + 3x2 + -3x2 Combine like terms: 5x + -5x = 0 -7 + 1f + fx + -5x + -3x2 = 0 + 3x2 + -3x2 -7 + 1f + fx + -5x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -7 + 1f + fx + -5x + -3x2 = 0 The solution to this equation could not be determined.
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