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Simplifying 3f(x + -2) + 1 = 1 Reorder the terms: 3f(-2 + x) + 1 = 1 (-2 * 3f + x * 3f) + 1 = 1 (-6f + 3fx) + 1 = 1 Reorder the terms: 1 + -6f + 3fx = 1 Add '-1' to each side of the equation. 1 + -6f + -1 + 3fx = 1 + -1 Reorder the terms: 1 + -1 + -6f + 3fx = 1 + -1 Combine like terms: 1 + -1 = 0 0 + -6f + 3fx = 1 + -1 -6f + 3fx = 1 + -1 Combine like terms: 1 + -1 = 0 -6f + 3fx = 0 Solving -6f + 3fx = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '3f'. 3f(-2 + x) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'f' equal to zero and attempt to solve: Simplifying f = 0 Solving f = 0 Move all terms containing f to the left, all other terms to the right. Simplifying f = 0Subproblem 2
Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing f to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Add '-1x' to each side of the equation. x + -1x = 2 + -1x Combine like terms: x + -1x = 0 0 = 2 + -1x Simplifying 0 = 2 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
f = {0}
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