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Simplifying f(-1x) + -1f(x) = 3x3 + -6x2 + -8x + -14 + -1(-3x3 + 6x2 + 8x + -14) Remove parenthesis around (-1x) f * -1x + -1f(x) = 3x3 + -6x2 + -8x + -14 + -1(-3x3 + 6x2 + 8x + -14) Reorder the terms for easier multiplication: -1f * x + -1f(x) = 3x3 + -6x2 + -8x + -14 + -1(-3x3 + 6x2 + 8x + -14) Multiply f * x -1fx + -1f(x) = 3x3 + -6x2 + -8x + -14 + -1(-3x3 + 6x2 + 8x + -14) Multiply f * x -1fx + -1fx = 3x3 + -6x2 + -8x + -14 + -1(-3x3 + 6x2 + 8x + -14) Combine like terms: -1fx + -1fx = -2fx -2fx = 3x3 + -6x2 + -8x + -14 + -1(-3x3 + 6x2 + 8x + -14) Reorder the terms: -2fx = 3x3 + -6x2 + -8x + -14 + -1(-14 + 8x + 6x2 + -3x3) -2fx = 3x3 + -6x2 + -8x + -14 + (-14 * -1 + 8x * -1 + 6x2 * -1 + -3x3 * -1) -2fx = 3x3 + -6x2 + -8x + -14 + (14 + -8x + -6x2 + 3x3) Reorder the terms: -2fx = -14 + 14 + -8x + -8x + -6x2 + -6x2 + 3x3 + 3x3 Combine like terms: -14 + 14 = 0 -2fx = 0 + -8x + -8x + -6x2 + -6x2 + 3x3 + 3x3 -2fx = -8x + -8x + -6x2 + -6x2 + 3x3 + 3x3 Combine like terms: -8x + -8x = -16x -2fx = -16x + -6x2 + -6x2 + 3x3 + 3x3 Combine like terms: -6x2 + -6x2 = -12x2 -2fx = -16x + -12x2 + 3x3 + 3x3 Combine like terms: 3x3 + 3x3 = 6x3 -2fx = -16x + -12x2 + 6x3 Solving -2fx = -16x + -12x2 + 6x3 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by '-2x'. f = 8 + 6x + -3x2 Simplifying f = 8 + 6x + -3x2
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