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Simplifying f(x + 4) = (x + 4) * 2 + 8(x + 14) + 2 Reorder the terms: f(4 + x) = (x + 4) * 2 + 8(x + 14) + 2 (4 * f + x * f) = (x + 4) * 2 + 8(x + 14) + 2 (4f + fx) = (x + 4) * 2 + 8(x + 14) + 2 Reorder the terms: 4f + fx = (4 + x) * 2 + 8(x + 14) + 2 Reorder the terms for easier multiplication: 4f + fx = 2(4 + x) + 8(x + 14) + 2 4f + fx = (4 * 2 + x * 2) + 8(x + 14) + 2 4f + fx = (8 + 2x) + 8(x + 14) + 2 Reorder the terms: 4f + fx = 8 + 2x + 8(14 + x) + 2 4f + fx = 8 + 2x + (14 * 8 + x * 8) + 2 4f + fx = 8 + 2x + (112 + 8x) + 2 Reorder the terms: 4f + fx = 8 + 112 + 2 + 2x + 8x Combine like terms: 8 + 112 = 120 4f + fx = 120 + 2 + 2x + 8x Combine like terms: 120 + 2 = 122 4f + fx = 122 + 2x + 8x Combine like terms: 2x + 8x = 10x 4f + fx = 122 + 10x Solving 4f + fx = 122 + 10x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Reorder the terms: -122 + 4f + fx + -10x = 122 + 10x + -122 + -10x Reorder the terms: -122 + 4f + fx + -10x = 122 + -122 + 10x + -10x Combine like terms: 122 + -122 = 0 -122 + 4f + fx + -10x = 0 + 10x + -10x -122 + 4f + fx + -10x = 10x + -10x Combine like terms: 10x + -10x = 0 -122 + 4f + fx + -10x = 0 The solution to this equation could not be determined.
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