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Simplifying lg(x + 3) + -1lg(2x + -1) = 1 Reorder the terms: gl(3 + x) + -1lg(2x + -1) = 1 (3 * gl + x * gl) + -1lg(2x + -1) = 1 (3gl + glx) + -1lg(2x + -1) = 1 Reorder the terms: 3gl + glx + -1gl(-1 + 2x) = 1 3gl + glx + (-1 * -1gl + 2x * -1gl) = 1 3gl + glx + (1gl + -2glx) = 1 Reorder the terms: 3gl + 1gl + glx + -2glx = 1 Combine like terms: 3gl + 1gl = 4gl 4gl + glx + -2glx = 1 Combine like terms: glx + -2glx = -1glx 4gl + -1glx = 1 Solving 4gl + -1glx = 1 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -1 + 4gl + -1glx = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 4gl + -1glx = 0 The solution to this equation could not be determined.
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