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Simplifying lg(x + 3) + -1lg(x) = lg(7) Reorder the terms: gl(3 + x) + -1lg(x) = lg(7) (3 * gl + x * gl) + -1lg(x) = lg(7) (3gl + glx) + -1lg(x) = lg(7) Multiply gl * x 3gl + glx + -1glx = lg(7) Combine like terms: glx + -1glx = 0 3gl + 0 = lg(7) 3gl = lg(7) Reorder the terms for easier multiplication: 3gl = 7gl Solving 3gl = 7gl Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-7gl' to each side of the equation. 3gl + -7gl = 7gl + -7gl Combine like terms: 3gl + -7gl = -4gl -4gl = 7gl + -7gl Combine like terms: 7gl + -7gl = 0 -4gl = 0 Divide each side by '-4'. gl = 0 Simplifying gl = 0 The solution to this equation could not be determined.
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