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Simplifying lg(2x + 5) = 1 + lg Reorder the terms: gl(5 + 2x) = 1 + lg (5 * gl + 2x * gl) = 1 + lg (5gl + 2glx) = 1 + lg Solving 5gl + 2glx = 1 + gl Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1gl' to each side of the equation. 5gl + -1gl + 2glx = 1 + gl + -1gl Combine like terms: 5gl + -1gl = 4gl 4gl + 2glx = 1 + gl + -1gl Combine like terms: gl + -1gl = 0 4gl + 2glx = 1 + 0 4gl + 2glx = 1 Reorder the terms: -1 + 4gl + 2glx = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 4gl + 2glx = 0 The solution to this equation could not be determined.
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