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Simplifying 2(e6x + 6) = 8 Reorder the terms: 2(6 + e6x) = 8 (6 * 2 + e6x * 2) = 8 (12 + 2e6x) = 8 Solving 12 + 2e6x = 8 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2e6x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 2e6x = 8 + -12 2e6x = 8 + -12 Combine like terms: 8 + -12 = -4 2e6x = -4 Divide each side by '2x'. e6 = -2x-1 Simplifying e6 = -2x-1 Combine like terms: -2x-1 + 2x-1 = 0 e6 + 2x-1 = 0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e6x + 2) = 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 '(e6x + 2)' equal to zero and attempt to solve: Simplifying e6x + 2 = 0 Reorder the terms: 2 + e6x = 0 Solving 2 + e6x = 0 Move all terms containing e to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + e6x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + e6x = 0 + -2 e6x = 0 + -2 Combine like terms: 0 + -2 = -2 e6x = -2 Divide each side by 'x'. e6 = -2x-1 Simplifying e6 = -2x-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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