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Simplifying f(2) = 7(x + -2) + 4(x + 1) Reorder the terms for easier multiplication: 2f = 7(x + -2) + 4(x + 1) Reorder the terms: 2f = 7(-2 + x) + 4(x + 1) 2f = (-2 * 7 + x * 7) + 4(x + 1) 2f = (-14 + 7x) + 4(x + 1) Reorder the terms: 2f = -14 + 7x + 4(1 + x) 2f = -14 + 7x + (1 * 4 + x * 4) 2f = -14 + 7x + (4 + 4x) Reorder the terms: 2f = -14 + 4 + 7x + 4x Combine like terms: -14 + 4 = -10 2f = -10 + 7x + 4x Combine like terms: 7x + 4x = 11x 2f = -10 + 11x Solving 2f = -10 + 11x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by '2'. f = -5 + 5.5x Simplifying f = -5 + 5.5x
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