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Simplifying 1 + 2lgx = lg(11x + -3) Reorder the terms: 1 + 2glx = gl(-3 + 11x) 1 + 2glx = (-3 * gl + 11x * gl) 1 + 2glx = (-3gl + 11glx) Solving 1 + 2glx = -3gl + 11glx Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '3gl' to each side of the equation. 1 + 3gl + 2glx = -3gl + 3gl + 11glx Combine like terms: -3gl + 3gl = 0 1 + 3gl + 2glx = 0 + 11glx 1 + 3gl + 2glx = 11glx Add '-11glx' to each side of the equation. 1 + 3gl + 2glx + -11glx = 11glx + -11glx Combine like terms: 2glx + -11glx = -9glx 1 + 3gl + -9glx = 11glx + -11glx Combine like terms: 11glx + -11glx = 0 1 + 3gl + -9glx = 0 Add '-1' to each side of the equation. 1 + 3gl + -1 + -9glx = 0 + -1 Reorder the terms: 1 + -1 + 3gl + -9glx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3gl + -9glx = 0 + -1 3gl + -9glx = 0 + -1 Combine like terms: 0 + -1 = -1 3gl + -9glx = -1 Reorder the terms: 1 + 3gl + -9glx = -1 + 1 Combine like terms: -1 + 1 = 0 1 + 3gl + -9glx = 0 The solution to this equation could not be determined.
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