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Simplifying lg(x + 1) + 1 = lg(x + -10x) Reorder the terms: gl(1 + x) + 1 = lg(x + -10x) (1 * gl + x * gl) + 1 = lg(x + -10x) (1gl + glx) + 1 = lg(x + -10x) Reorder the terms: 1 + 1gl + glx = lg(x + -10x) Combine like terms: x + -10x = -9x 1 + 1gl + glx = gl(-9x) Remove parenthesis around (-9x) 1 + 1gl + glx = gl * -9x Reorder the terms for easier multiplication: 1 + 1gl + glx = -9gl * x Multiply gl * x 1 + 1gl + glx = -9glx Solving 1 + 1gl + glx = -9glx Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '9glx' to each side of the equation. 1 + 1gl + glx + 9glx = -9glx + 9glx Combine like terms: glx + 9glx = 10glx 1 + 1gl + 10glx = -9glx + 9glx Combine like terms: -9glx + 9glx = 0 1 + 1gl + 10glx = 0 Add '-1' to each side of the equation. 1 + 1gl + -1 + 10glx = 0 + -1 Reorder the terms: 1 + -1 + 1gl + 10glx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1gl + 10glx = 0 + -1 1gl + 10glx = 0 + -1 Combine like terms: 0 + -1 = -1 1gl + 10glx = -1 Reorder the terms: 1 + 1gl + 10glx = -1 + 1 Combine like terms: -1 + 1 = 0 1 + 1gl + 10glx = 0 The solution to this equation could not be determined.
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