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Simplifying lg(2x + 6) + -2lg(2x + -3) = 1 Reorder the terms: gl(6 + 2x) + -2lg(2x + -3) = 1 (6 * gl + 2x * gl) + -2lg(2x + -3) = 1 (6gl + 2glx) + -2lg(2x + -3) = 1 Reorder the terms: 6gl + 2glx + -2gl(-3 + 2x) = 1 6gl + 2glx + (-3 * -2gl + 2x * -2gl) = 1 6gl + 2glx + (6gl + -4glx) = 1 Reorder the terms: 6gl + 6gl + 2glx + -4glx = 1 Combine like terms: 6gl + 6gl = 12gl 12gl + 2glx + -4glx = 1 Combine like terms: 2glx + -4glx = -2glx 12gl + -2glx = 1 Solving 12gl + -2glx = 1 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -1 + 12gl + -2glx = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 12gl + -2glx = 0 The solution to this equation could not be determined.
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