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Simplifying lg(4x + 22) + -2lg(x + 2) = 1 Reorder the terms: gl(22 + 4x) + -2lg(x + 2) = 1 (22 * gl + 4x * gl) + -2lg(x + 2) = 1 (22gl + 4glx) + -2lg(x + 2) = 1 Reorder the terms: 22gl + 4glx + -2gl(2 + x) = 1 22gl + 4glx + (2 * -2gl + x * -2gl) = 1 22gl + 4glx + (-4gl + -2glx) = 1 Reorder the terms: 22gl + -4gl + 4glx + -2glx = 1 Combine like terms: 22gl + -4gl = 18gl 18gl + 4glx + -2glx = 1 Combine like terms: 4glx + -2glx = 2glx 18gl + 2glx = 1 Solving 18gl + 2glx = 1 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -1 + 18gl + 2glx = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 18gl + 2glx = 0 The solution to this equation could not be determined.
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