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Simplifying 12x + -17 = 6f(x) + -11 Reorder the terms: -17 + 12x = 6f(x) + -11 Multiply f * x -17 + 12x = 6fx + -11 Reorder the terms: -17 + 12x = -11 + 6fx Solving -17 + 12x = -11 + 6fx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6fx' to each side of the equation. -17 + -6fx + 12x = -11 + 6fx + -6fx Combine like terms: 6fx + -6fx = 0 -17 + -6fx + 12x = -11 + 0 -17 + -6fx + 12x = -11 Add '17' to each side of the equation. -17 + -6fx + 17 + 12x = -11 + 17 Reorder the terms: -17 + 17 + -6fx + 12x = -11 + 17 Combine like terms: -17 + 17 = 0 0 + -6fx + 12x = -11 + 17 -6fx + 12x = -11 + 17 Combine like terms: -11 + 17 = 6 -6fx + 12x = 6 Reorder the terms: -6 + -6fx + 12x = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -6fx + 12x = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-1 + -1fx + 2x) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-1 + -1fx + 2x)' equal to zero and attempt to solve: Simplifying -1 + -1fx + 2x = 0 Solving -1 + -1fx + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1fx + 1 + 2x = 0 + 1 Reorder the terms: -1 + 1 + -1fx + 2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1fx + 2x = 0 + 1 -1fx + 2x = 0 + 1 Combine like terms: 0 + 1 = 1 -1fx + 2x = 1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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