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Simplifying lg(2x + 1) + -1lg(x + -1) = 0.5 Reorder the terms: gl(1 + 2x) + -1lg(x + -1) = 0.5 (1 * gl + 2x * gl) + -1lg(x + -1) = 0.5 (1gl + 2glx) + -1lg(x + -1) = 0.5 Reorder the terms: 1gl + 2glx + -1gl(-1 + x) = 0.5 1gl + 2glx + (-1 * -1gl + x * -1gl) = 0.5 1gl + 2glx + (1gl + -1glx) = 0.5 Reorder the terms: 1gl + 1gl + 2glx + -1glx = 0.5 Combine like terms: 1gl + 1gl = 2gl 2gl + 2glx + -1glx = 0.5 Combine like terms: 2glx + -1glx = 1glx 2gl + 1glx = 0.5 Solving 2gl + 1glx = 0.5 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -0.5 + 2gl + 1glx = 0.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 -0.5 + 2gl + 1glx = 0.0 The solution to this equation could not be determined.
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