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Simplifying 6x + (5x + -7) + (2f2 + 2) + x = 5x2 + 19x + 11 Reorder the terms: 6x + (-7 + 5x) + (2f2 + 2) + x = 5x2 + 19x + 11 Remove parenthesis around (-7 + 5x) 6x + -7 + 5x + (2f2 + 2) + x = 5x2 + 19x + 11 Reorder the terms: 6x + -7 + 5x + (2 + 2f2) + x = 5x2 + 19x + 11 Remove parenthesis around (2 + 2f2) 6x + -7 + 5x + 2 + 2f2 + x = 5x2 + 19x + 11 Reorder the terms: -7 + 2 + 2f2 + 6x + 5x + x = 5x2 + 19x + 11 Combine like terms: -7 + 2 = -5 -5 + 2f2 + 6x + 5x + x = 5x2 + 19x + 11 Combine like terms: 6x + 5x = 11x -5 + 2f2 + 11x + x = 5x2 + 19x + 11 Combine like terms: 11x + x = 12x -5 + 2f2 + 12x = 5x2 + 19x + 11 Reorder the terms: -5 + 2f2 + 12x = 11 + 19x + 5x2 Solving -5 + 2f2 + 12x = 11 + 19x + 5x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 2f2 + 5 + 12x = 11 + 19x + 5 + 5x2 Reorder the terms: -5 + 5 + 2f2 + 12x = 11 + 19x + 5 + 5x2 Combine like terms: -5 + 5 = 0 0 + 2f2 + 12x = 11 + 19x + 5 + 5x2 2f2 + 12x = 11 + 19x + 5 + 5x2 Reorder the terms: 2f2 + 12x = 11 + 5 + 19x + 5x2 Combine like terms: 11 + 5 = 16 2f2 + 12x = 16 + 19x + 5x2 Add '-12x' to each side of the equation. 2f2 + 12x + -12x = 16 + 19x + -12x + 5x2 Combine like terms: 12x + -12x = 0 2f2 + 0 = 16 + 19x + -12x + 5x2 2f2 = 16 + 19x + -12x + 5x2 Combine like terms: 19x + -12x = 7x 2f2 = 16 + 7x + 5x2 Divide each side by '2'. f2 = 8 + 3.5x + 2.5x2 Simplifying f2 = 8 + 3.5x + 2.5x2 Reorder the terms: -8 + f2 + -3.5x + -2.5x2 = 8 + 3.5x + 2.5x2 + -8 + -3.5x + -2.5x2 Reorder the terms: -8 + f2 + -3.5x + -2.5x2 = 8 + -8 + 3.5x + -3.5x + 2.5x2 + -2.5x2 Combine like terms: 8 + -8 = 0 -8 + f2 + -3.5x + -2.5x2 = 0 + 3.5x + -3.5x + 2.5x2 + -2.5x2 -8 + f2 + -3.5x + -2.5x2 = 3.5x + -3.5x + 2.5x2 + -2.5x2 Combine like terms: 3.5x + -3.5x = 0.0 -8 + f2 + -3.5x + -2.5x2 = 0.0 + 2.5x2 + -2.5x2 -8 + f2 + -3.5x + -2.5x2 = 2.5x2 + -2.5x2 Combine like terms: 2.5x2 + -2.5x2 = 0.0 -8 + f2 + -3.5x + -2.5x2 = 0.0 The solution to this equation could not be determined.
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