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