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Simplifying x + e2X = 7 Reorder the terms: e2X + x = 7 Solving e2X + x = 7 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-1x' to each side of the equation. e2X + x + -1x = 7 + -1x Combine like terms: x + -1x = 0 e2X + 0 = 7 + -1x e2X = 7 + -1x Divide each side by 'X'. e2 = 7X-1 + -1xX-1 Simplifying e2 = 7X-1 + -1xX-1 Reorder the terms: -7X-1 + e2 + xX-1 = 7X-1 + -1xX-1 + -7X-1 + xX-1 Reorder the terms: -7X-1 + e2 + xX-1 = 7X-1 + -7X-1 + -1xX-1 + xX-1 Combine like terms: 7X-1 + -7X-1 = 0 -7X-1 + e2 + xX-1 = 0 + -1xX-1 + xX-1 -7X-1 + e2 + xX-1 = -1xX-1 + xX-1 Combine like terms: -1xX-1 + xX-1 = 0 -7X-1 + e2 + xX-1 = 0 Factor out the Greatest Common Factor (GCF), 'X-1'. X-1(-7 + e2X + x) = 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 '(-7 + e2X + x)' equal to zero and attempt to solve: Simplifying -7 + e2X + x = 0 Solving -7 + e2X + x = 0 Move all terms containing e to the left, all other terms to the right. Add '7' to each side of the equation. -7 + e2X + 7 + x = 0 + 7 Reorder the terms: -7 + 7 + e2X + x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + e2X + x = 0 + 7 e2X + x = 0 + 7 Combine like terms: 0 + 7 = 7 e2X + x = 7 Add '-1x' to each side of the equation. e2X + x + -1x = 7 + -1x Combine like terms: x + -1x = 0 e2X + 0 = 7 + -1x e2X = 7 + -1x Divide each side by 'X'. e2 = 7X-1 + -1xX-1 Simplifying e2 = 7X-1 + -1xX-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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