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Simplifying e5x + -32 = 96 Reorder the terms: -32 + e5x = 96 Solving -32 + e5x = 96 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + e5x = 96 + 32 Combine like terms: -32 + 32 = 0 0 + e5x = 96 + 32 e5x = 96 + 32 Combine like terms: 96 + 32 = 128 e5x = 128 Divide each side by 'x'. e5 = 128x-1 Simplifying e5 = 128x-1 Combine like terms: 128x-1 + -128x-1 = 0 e5 + -128x-1 = 0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e5x + -128) = 0Subproblem 1
Set the factor 'x-1' equal to zero and attempt to solve: Simplifying x-1 = 0 Solving x-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1x-1' to each side of the equation. x-1 + -1x-1 = 0 + -1x-1 Remove the zero: 0 = -1x-1 Simplifying 0 = -1x-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(e5x + -128)' equal to zero and attempt to solve: Simplifying e5x + -128 = 0 Reorder the terms: -128 + e5x = 0 Solving -128 + e5x = 0 Move all terms containing e to the left, all other terms to the right. Add '128' to each side of the equation. -128 + 128 + e5x = 0 + 128 Combine like terms: -128 + 128 = 0 0 + e5x = 0 + 128 e5x = 0 + 128 Combine like terms: 0 + 128 = 128 e5x = 128 Divide each side by 'x'. e5 = 128x-1 Simplifying e5 = 128x-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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