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Simplifying 3x + 5 = 6f(x) + 8 Reorder the terms: 5 + 3x = 6f(x) + 8 Multiply f * x 5 + 3x = 6fx + 8 Reorder the terms: 5 + 3x = 8 + 6fx Solving 5 + 3x = 8 + 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. 5 + -6fx + 3x = 8 + 6fx + -6fx Combine like terms: 6fx + -6fx = 0 5 + -6fx + 3x = 8 + 0 5 + -6fx + 3x = 8 Add '-5' to each side of the equation. 5 + -6fx + -5 + 3x = 8 + -5 Reorder the terms: 5 + -5 + -6fx + 3x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + -6fx + 3x = 8 + -5 -6fx + 3x = 8 + -5 Combine like terms: 8 + -5 = 3 -6fx + 3x = 3 Reorder the terms: -3 + -6fx + 3x = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + -6fx + 3x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1 + -2fx + x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + -2fx + x)' equal to zero and attempt to solve: Simplifying -1 + -2fx + x = 0 Solving -1 + -2fx + x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -2fx + 1 + x = 0 + 1 Reorder the terms: -1 + 1 + -2fx + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2fx + x = 0 + 1 -2fx + x = 0 + 1 Combine like terms: 0 + 1 = 1 -2fx + x = 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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