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