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Simplifying 0 = 2 + -1(x + 7) + 2xf(x) Reorder the terms: 0 = 2 + -1(7 + x) + 2xf(x) 0 = 2 + (7 * -1 + x * -1) + 2xf(x) 0 = 2 + (-7 + -1x) + 2xf(x) Multiply fx * x 0 = 2 + -7 + -1x + 2fx2 Reorder the terms: 0 = 2 + -7 + 2fx2 + -1x Combine like terms: 2 + -7 = -5 0 = -5 + 2fx2 + -1x Solving 0 = -5 + 2fx2 + -1x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2fx2' to each side of the equation. 0 + -2fx2 = -5 + 2fx2 + -2fx2 + -1x Remove the zero: -2fx2 = -5 + 2fx2 + -2fx2 + -1x Combine like terms: 2fx2 + -2fx2 = 0 -2fx2 = -5 + 0 + -1x -2fx2 = -5 + -1x Divide each side by '-2x2'. f = 2.5x-2 + 0.5x-1 Simplifying f = 2.5x-2 + 0.5x-1
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