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Simplifying lg(x + 1) = 1 + lgx Reorder the terms: gl(1 + x) = 1 + lgx (1 * gl + x * gl) = 1 + lgx (1gl + glx) = 1 + lgx Add '-1glx' to each side of the equation. 1gl + glx + -1glx = 1 + glx + -1glx Combine like terms: glx + -1glx = 0 1gl + 0 = 1 + glx + -1glx 1gl = 1 + glx + -1glx Combine like terms: glx + -1glx = 0 1gl = 1 + 0 1gl = 1 Solving 1gl = 1 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '1l'. g = l-1 Simplifying g = l-1
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