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Simplifying log(x + 7) = log(2x + -8) Reorder the terms: glo(7 + x) = log(2x + -8) (7 * glo + x * glo) = log(2x + -8) (7glo + glox) = log(2x + -8) Reorder the terms: 7glo + glox = glo(-8 + 2x) 7glo + glox = (-8 * glo + 2x * glo) 7glo + glox = (-8glo + 2glox) Solving 7glo + glox = -8glo + 2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '8glo' to each side of the equation. 7glo + 8glo + glox = -8glo + 8glo + 2glox Combine like terms: 7glo + 8glo = 15glo 15glo + glox = -8glo + 8glo + 2glox Combine like terms: -8glo + 8glo = 0 15glo + glox = 0 + 2glox 15glo + glox = 2glox Add '-2glox' to each side of the equation. 15glo + glox + -2glox = 2glox + -2glox Combine like terms: glox + -2glox = -1glox 15glo + -1glox = 2glox + -2glox Combine like terms: 2glox + -2glox = 0 15glo + -1glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(15 + -1x) = 0Subproblem 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 '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Add 'x' to each side of the equation. -1x + x = -15 + x Combine like terms: -1x + x = 0 0 = -15 + x Simplifying 0 = -15 + x 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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