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Simplifying lg(2x + 6) = 2lg(x + -1) Reorder the terms: gl(6 + 2x) = 2lg(x + -1) (6 * gl + 2x * gl) = 2lg(x + -1) (6gl + 2glx) = 2lg(x + -1) Reorder the terms: 6gl + 2glx = 2gl(-1 + x) 6gl + 2glx = (-1 * 2gl + x * 2gl) 6gl + 2glx = (-2gl + 2glx) Add '-2glx' to each side of the equation. 6gl + 2glx + -2glx = -2gl + 2glx + -2glx Combine like terms: 2glx + -2glx = 0 6gl + 0 = -2gl + 2glx + -2glx 6gl = -2gl + 2glx + -2glx Combine like terms: 2glx + -2glx = 0 6gl = -2gl + 0 6gl = -2gl Solving 6gl = -2gl Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2gl' to each side of the equation. 6gl + 2gl = -2gl + 2gl Combine like terms: 6gl + 2gl = 8gl 8gl = -2gl + 2gl Combine like terms: -2gl + 2gl = 0 8gl = 0 Divide each side by '8'. gl = 0 Simplifying gl = 0 The solution to this equation could not be determined.
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