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Simplifying f(x + 5) = 3(x + 5) + -8 Reorder the terms: f(5 + x) = 3(x + 5) + -8 (5 * f + x * f) = 3(x + 5) + -8 (5f + fx) = 3(x + 5) + -8 Reorder the terms: 5f + fx = 3(5 + x) + -8 5f + fx = (5 * 3 + x * 3) + -8 5f + fx = (15 + 3x) + -8 Reorder the terms: 5f + fx = 15 + -8 + 3x Combine like terms: 15 + -8 = 7 5f + fx = 7 + 3x Solving 5f + fx = 7 + 3x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Reorder the terms: -7 + 5f + fx + -3x = 7 + 3x + -7 + -3x Reorder the terms: -7 + 5f + fx + -3x = 7 + -7 + 3x + -3x Combine like terms: 7 + -7 = 0 -7 + 5f + fx + -3x = 0 + 3x + -3x -7 + 5f + fx + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 5f + fx + -3x = 0 The solution to this equation could not be determined.
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