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Simplifying f(x) = 3x + 8f(x + 3) Multiply f * x fx = 3x + 8f(x + 3) Reorder the terms: fx = 3x + 8f(3 + x) fx = 3x + (3 * 8f + x * 8f) fx = 3x + (24f + 8fx) Reorder the terms: fx = 24f + 8fx + 3x Solving fx = 24f + 8fx + 3x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-24f' to each side of the equation. -24f + fx = 24f + 8fx + -24f + 3x Reorder the terms: -24f + fx = 24f + -24f + 8fx + 3x Combine like terms: 24f + -24f = 0 -24f + fx = 0 + 8fx + 3x -24f + fx = 8fx + 3x Add '-8fx' to each side of the equation. -24f + fx + -8fx = 8fx + -8fx + 3x Combine like terms: fx + -8fx = -7fx -24f + -7fx = 8fx + -8fx + 3x Combine like terms: 8fx + -8fx = 0 -24f + -7fx = 0 + 3x -24f + -7fx = 3x Combine like terms: 3x + -3x = 0 -24f + -7fx + -3x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(24f + 7fx + 3x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(24f + 7fx + 3x)' equal to zero and attempt to solve: Simplifying 24f + 7fx + 3x = 0 Solving 24f + 7fx + 3x = 0 Move all terms containing f to the left, all other terms to the right. Add '-3x' to each side of the equation. 24f + 7fx + 3x + -3x = 0 + -3x Combine like terms: 3x + -3x = 0 24f + 7fx + 0 = 0 + -3x 24f + 7fx = 0 + -3x Remove the zero: 24f + 7fx = -3x 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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