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Simplifying f(x) + 3f(2 + -1x) = 4x Multiply f * x fx + 3f(2 + -1x) = 4x fx + (2 * 3f + -1x * 3f) = 4x fx + (6f + -3fx) = 4x Reorder the terms: 6f + fx + -3fx = 4x Combine like terms: fx + -3fx = -2fx 6f + -2fx = 4x Solving 6f + -2fx = 4x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Combine like terms: 4x + -4x = 0 6f + -2fx + -4x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3f + -1fx + -2x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3f + -1fx + -2x)' equal to zero and attempt to solve: Simplifying 3f + -1fx + -2x = 0 Solving 3f + -1fx + -2x = 0 Move all terms containing f to the left, all other terms to the right. Add '2x' to each side of the equation. 3f + -1fx + -2x + 2x = 0 + 2x Combine like terms: -2x + 2x = 0 3f + -1fx + 0 = 0 + 2x 3f + -1fx = 0 + 2x Remove the zero: 3f + -1fx = 2x 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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