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Simplifying 7log(7x + 7) + 2 = 2 Reorder the terms: 7glo(7 + 7x) + 2 = 2 (7 * 7glo + 7x * 7glo) + 2 = 2 (49glo + 49glox) + 2 = 2 Reorder the terms: 2 + 49glo + 49glox = 2 Add '-2' to each side of the equation. 2 + 49glo + -2 + 49glox = 2 + -2 Reorder the terms: 2 + -2 + 49glo + 49glox = 2 + -2 Combine like terms: 2 + -2 = 0 0 + 49glo + 49glox = 2 + -2 49glo + 49glox = 2 + -2 Combine like terms: 2 + -2 = 0 49glo + 49glox = 0 Solving 49glo + 49glox = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '49glo'. 49glo(1 + x) = 0 Ignore the factor 49.Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Add '-1x' to each side of the equation. x + -1x = -1 + -1x Combine like terms: x + -1x = 0 0 = -1 + -1x Simplifying 0 = -1 + -1x 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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