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Simplifying lg(x + 12) = 1 + lg(2 + -1x) Reorder the terms: gl(12 + x) = 1 + lg(2 + -1x) (12 * gl + x * gl) = 1 + lg(2 + -1x) (12gl + glx) = 1 + lg(2 + -1x) 12gl + glx = 1 + (2 * gl + -1x * gl) 12gl + glx = 1 + (2gl + -1glx) Solving 12gl + glx = 1 + 2gl + -1glx Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2gl' to each side of the equation. 12gl + -2gl + glx = 1 + 2gl + -2gl + -1glx Combine like terms: 12gl + -2gl = 10gl 10gl + glx = 1 + 2gl + -2gl + -1glx Combine like terms: 2gl + -2gl = 0 10gl + glx = 1 + 0 + -1glx 10gl + glx = 1 + -1glx Add 'glx' to each side of the equation. 10gl + glx + glx = 1 + -1glx + glx Combine like terms: glx + glx = 2glx 10gl + 2glx = 1 + -1glx + glx Combine like terms: -1glx + glx = 0 10gl + 2glx = 1 + 0 10gl + 2glx = 1 Reorder the terms: -1 + 10gl + 2glx = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 10gl + 2glx = 0 The solution to this equation could not be determined.
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