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Simplifying lg(3 + -1x) + lg(3 + x) = lg(7) (3 * gl + -1x * gl) + lg(3 + x) = lg(7) (3gl + -1glx) + lg(3 + x) = lg(7) 3gl + -1glx + (3 * gl + x * gl) = lg(7) 3gl + -1glx + (3gl + glx) = lg(7) Reorder the terms: 3gl + 3gl + -1glx + glx = lg(7) Combine like terms: 3gl + 3gl = 6gl 6gl + -1glx + glx = lg(7) Combine like terms: -1glx + glx = 0 6gl + 0 = lg(7) 6gl = lg(7) Reorder the terms for easier multiplication: 6gl = 7gl Solving 6gl = 7gl Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-7gl' to each side of the equation. 6gl + -7gl = 7gl + -7gl Combine like terms: 6gl + -7gl = -1gl -1gl = 7gl + -7gl Combine like terms: 7gl + -7gl = 0 -1gl = 0 Divide each side by '-1'. gl = 0 Simplifying gl = 0 The solution to this equation could not be determined.
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