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Simplifying f(x + 1) = 2(x + 1) + -6 Reorder the terms: f(1 + x) = 2(x + 1) + -6 (1 * f + x * f) = 2(x + 1) + -6 (1f + fx) = 2(x + 1) + -6 Reorder the terms: 1f + fx = 2(1 + x) + -6 1f + fx = (1 * 2 + x * 2) + -6 1f + fx = (2 + 2x) + -6 Reorder the terms: 1f + fx = 2 + -6 + 2x Combine like terms: 2 + -6 = -4 1f + fx = -4 + 2x Solving 1f + fx = -4 + 2x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Reorder the terms: 4 + 1f + fx + -2x = -4 + 2x + 4 + -2x Reorder the terms: 4 + 1f + fx + -2x = -4 + 4 + 2x + -2x Combine like terms: -4 + 4 = 0 4 + 1f + fx + -2x = 0 + 2x + -2x 4 + 1f + fx + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 4 + 1f + fx + -2x = 0 The solution to this equation could not be determined.
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