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Simplifying log(2x + -5) + 1 = log(7x + 10) Reorder the terms: glo(-5 + 2x) + 1 = log(7x + 10) (-5 * glo + 2x * glo) + 1 = log(7x + 10) (-5glo + 2glox) + 1 = log(7x + 10) Reorder the terms: 1 + -5glo + 2glox = log(7x + 10) Reorder the terms: 1 + -5glo + 2glox = glo(10 + 7x) 1 + -5glo + 2glox = (10 * glo + 7x * glo) 1 + -5glo + 2glox = (10glo + 7glox) Solving 1 + -5glo + 2glox = 10glo + 7glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-10glo' to each side of the equation. 1 + -5glo + -10glo + 2glox = 10glo + -10glo + 7glox Combine like terms: -5glo + -10glo = -15glo 1 + -15glo + 2glox = 10glo + -10glo + 7glox Combine like terms: 10glo + -10glo = 0 1 + -15glo + 2glox = 0 + 7glox 1 + -15glo + 2glox = 7glox Add '-7glox' to each side of the equation. 1 + -15glo + 2glox + -7glox = 7glox + -7glox Combine like terms: 2glox + -7glox = -5glox 1 + -15glo + -5glox = 7glox + -7glox Combine like terms: 7glox + -7glox = 0 1 + -15glo + -5glox = 0 Add '-1' to each side of the equation. 1 + -15glo + -1 + -5glox = 0 + -1 Reorder the terms: 1 + -1 + -15glo + -5glox = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -15glo + -5glox = 0 + -1 -15glo + -5glox = 0 + -1 Combine like terms: 0 + -1 = -1 -15glo + -5glox = -1 Reorder the terms: 1 + -15glo + -5glox = -1 + 1 Combine like terms: -1 + 1 = 0 1 + -15glo + -5glox = 0 The solution to this equation could not be determined.
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