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Simplifying Lgx + lg(2x + -3) = 1 + lg Reorder the terms: gxL + gl(-3 + 2x) = 1 + lg gxL + (-3 * gl + 2x * gl) = 1 + lg gxL + (-3gl + 2glx) = 1 + lg Reorder the terms: -3gl + 2glx + gxL = 1 + lg Solving -3gl + 2glx + gxL = 1 + gl 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. -3gl + 2glx + -1gl + gxL = 1 + gl + -1gl Reorder the terms: -3gl + -1gl + 2glx + gxL = 1 + gl + -1gl Combine like terms: -3gl + -1gl = -4gl -4gl + 2glx + gxL = 1 + gl + -1gl Combine like terms: gl + -1gl = 0 -4gl + 2glx + gxL = 1 + 0 -4gl + 2glx + gxL = 1 Reorder the terms: -1 + -4gl + 2glx + gxL = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + -4gl + 2glx + gxL = 0 The solution to this equation could not be determined.
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