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Simplifying 2lg(x + -1) = lg(0.3x + -1) Reorder the terms: 2gl(-1 + x) = lg(0.3x + -1) (-1 * 2gl + x * 2gl) = lg(0.3x + -1) (-2gl + 2glx) = lg(0.3x + -1) Reorder the terms: -2gl + 2glx = gl(-1 + 0.3x) -2gl + 2glx = (-1 * gl + 0.3x * gl) -2gl + 2glx = (-1gl + 0.3glx) Solving -2gl + 2glx = -1gl + 0.3glx Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'gl' to each side of the equation. -2gl + gl + 2glx = -1gl + gl + 0.3glx Combine like terms: -2gl + gl = -1gl -1gl + 2glx = -1gl + gl + 0.3glx Combine like terms: -1gl + gl = 0 -1gl + 2glx = 0 + 0.3glx -1gl + 2glx = 0.3glx Add '-0.3glx' to each side of the equation. -1gl + 2glx + -0.3glx = 0.3glx + -0.3glx Combine like terms: 2glx + -0.3glx = 1.7glx -1gl + 1.7glx = 0.3glx + -0.3glx Combine like terms: 0.3glx + -0.3glx = 0.0 -1gl + 1.7glx = 0.0 The solution to this equation could not be determined.
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