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Simplifying 2(e6x + -6) = 12 Reorder the terms: 2(-6 + e6x) = 12 (-6 * 2 + e6x * 2) = 12 (-12 + 2e6x) = 12 Solving -12 + 2e6x = 12 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 = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 2e6x = 12 + 12 2e6x = 12 + 12 Combine like terms: 12 + 12 = 24 2e6x = 24 Divide each side by '2x'. e6 = 12x-1 Simplifying e6 = 12x-1 Combine like terms: 12x-1 + -12x-1 = 0 e6 + -12x-1 = 0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e6x + -12) = 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 + -12)' equal to zero and attempt to solve: Simplifying e6x + -12 = 0 Reorder the terms: -12 + e6x = 0 Solving -12 + e6x = 0 Move all terms containing e to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + e6x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + e6x = 0 + 12 e6x = 0 + 12 Combine like terms: 0 + 12 = 12 e6x = 12 Divide each side by 'x'. e6 = 12x-1 Simplifying e6 = 12x-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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