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Simplifying f(x + -1)(2x + 3) + -10(x + -3) * 2 = 65x + -4 Reorder the terms: f(-1 + x)(2x + 3) + -10(x + -3) * 2 = 65x + -4 Reorder the terms: f(-1 + x)(3 + 2x) + -10(x + -3) * 2 = 65x + -4 Multiply (-1 + x) * (3 + 2x) f(-1(3 + 2x) + x(3 + 2x)) + -10(x + -3) * 2 = 65x + -4 f((3 * -1 + 2x * -1) + x(3 + 2x)) + -10(x + -3) * 2 = 65x + -4 f((-3 + -2x) + x(3 + 2x)) + -10(x + -3) * 2 = 65x + -4 f(-3 + -2x + (3 * x + 2x * x)) + -10(x + -3) * 2 = 65x + -4 f(-3 + -2x + (3x + 2x2)) + -10(x + -3) * 2 = 65x + -4 Combine like terms: -2x + 3x = 1x f(-3 + 1x + 2x2) + -10(x + -3) * 2 = 65x + -4 (-3 * f + 1x * f + 2x2 * f) + -10(x + -3) * 2 = 65x + -4 (-3f + 1fx + 2fx2) + -10(x + -3) * 2 = 65x + -4 Reorder the terms: -3f + 1fx + 2fx2 + -10(-3 + x) * 2 = 65x + -4 Reorder the terms for easier multiplication: -3f + 1fx + 2fx2 + -10 * 2(-3 + x) = 65x + -4 Multiply -10 * 2 -3f + 1fx + 2fx2 + -20(-3 + x) = 65x + -4 -3f + 1fx + 2fx2 + (-3 * -20 + x * -20) = 65x + -4 -3f + 1fx + 2fx2 + (60 + -20x) = 65x + -4 Reorder the terms: 60 + -3f + 1fx + 2fx2 + -20x = 65x + -4 Reorder the terms: 60 + -3f + 1fx + 2fx2 + -20x = -4 + 65x Solving 60 + -3f + 1fx + 2fx2 + -20x = -4 + 65x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -3f + 1fx + 2fx2 + -60 + -20x = -4 + -60 + 65x Reorder the terms: 60 + -60 + -3f + 1fx + 2fx2 + -20x = -4 + -60 + 65x Combine like terms: 60 + -60 = 0 0 + -3f + 1fx + 2fx2 + -20x = -4 + -60 + 65x -3f + 1fx + 2fx2 + -20x = -4 + -60 + 65x Combine like terms: -4 + -60 = -64 -3f + 1fx + 2fx2 + -20x = -64 + 65x Add '20x' to each side of the equation. -3f + 1fx + 2fx2 + -20x + 20x = -64 + 65x + 20x Combine like terms: -20x + 20x = 0 -3f + 1fx + 2fx2 + 0 = -64 + 65x + 20x -3f + 1fx + 2fx2 = -64 + 65x + 20x Combine like terms: 65x + 20x = 85x -3f + 1fx + 2fx2 = -64 + 85x Reorder the terms: 64 + -3f + 1fx + 2fx2 + -85x = -64 + 85x + 64 + -85x Reorder the terms: 64 + -3f + 1fx + 2fx2 + -85x = -64 + 64 + 85x + -85x Combine like terms: -64 + 64 = 0 64 + -3f + 1fx + 2fx2 + -85x = 0 + 85x + -85x 64 + -3f + 1fx + 2fx2 + -85x = 85x + -85x Combine like terms: 85x + -85x = 0 64 + -3f + 1fx + 2fx2 + -85x = 0 The solution to this equation could not be determined.
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