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Simplifying f(x + 1) = 3(x + 1) + 7 Reorder the terms: f(1 + x) = 3(x + 1) + 7 (1 * f + x * f) = 3(x + 1) + 7 (1f + fx) = 3(x + 1) + 7 Reorder the terms: 1f + fx = 3(1 + x) + 7 1f + fx = (1 * 3 + x * 3) + 7 1f + fx = (3 + 3x) + 7 Reorder the terms: 1f + fx = 3 + 7 + 3x Combine like terms: 3 + 7 = 10 1f + fx = 10 + 3x Solving 1f + fx = 10 + 3x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Reorder the terms: -10 + 1f + fx + -3x = 10 + 3x + -10 + -3x Reorder the terms: -10 + 1f + fx + -3x = 10 + -10 + 3x + -3x Combine like terms: 10 + -10 = 0 -10 + 1f + fx + -3x = 0 + 3x + -3x -10 + 1f + fx + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 1f + fx + -3x = 0 The solution to this equation could not be determined.
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