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Simplifying 1 + lg(x) + -1lg(2) = 2lg(8) + -1lg(4) Multiply gl * x 1 + glx + -1lg(2) = 2lg(8) + -1lg(4) Reorder the terms for easier multiplication: 1 + glx + -1 * 2gl = 2lg(8) + -1lg(4) Multiply -1 * 2 1 + glx + -2gl = 2lg(8) + -1lg(4) Reorder the terms: 1 + -2gl + glx = 2lg(8) + -1lg(4) Reorder the terms for easier multiplication: 1 + -2gl + glx = 2 * 8gl + -1lg(4) Multiply 2 * 8 1 + -2gl + glx = 16gl + -1lg(4) Reorder the terms for easier multiplication: 1 + -2gl + glx = 16gl + -1 * 4gl Multiply -1 * 4 1 + -2gl + glx = 16gl + -4gl Combine like terms: 16gl + -4gl = 12gl 1 + -2gl + glx = 12gl Solving 1 + -2gl + glx = 12gl Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-12gl' to each side of the equation. 1 + -2gl + -12gl + glx = 12gl + -12gl Combine like terms: -2gl + -12gl = -14gl 1 + -14gl + glx = 12gl + -12gl Combine like terms: 12gl + -12gl = 0 1 + -14gl + glx = 0 Add '-1' to each side of the equation. 1 + -14gl + -1 + glx = 0 + -1 Reorder the terms: 1 + -1 + -14gl + glx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -14gl + glx = 0 + -1 -14gl + glx = 0 + -1 Combine like terms: 0 + -1 = -1 -14gl + glx = -1 Reorder the terms: 1 + -14gl + glx = -1 + 1 Combine like terms: -1 + 1 = 0 1 + -14gl + glx = 0 The solution to this equation could not be determined.
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