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Simplifying 0.5lg(2x + -1) + -1 = lg * 0.3 Reorder the terms: 0.5gl(-1 + 2x) + -1 = lg * 0.3 (-1 * 0.5gl + 2x * 0.5gl) + -1 = lg * 0.3 (-0.5gl + 1glx) + -1 = lg * 0.3 Reorder the terms: -1 + -0.5gl + 1glx = lg * 0.3 Reorder the terms for easier multiplication: -1 + -0.5gl + 1glx = 0.3gl Solving -1 + -0.5gl + 1glx = 0.3gl Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-0.3gl' to each side of the equation. -1 + -0.5gl + -0.3gl + 1glx = 0.3gl + -0.3gl Combine like terms: -0.5gl + -0.3gl = -0.8gl -1 + -0.8gl + 1glx = 0.3gl + -0.3gl Combine like terms: 0.3gl + -0.3gl = 0.0 -1 + -0.8gl + 1glx = 0.0 Add '1' to each side of the equation. -1 + -0.8gl + 1 + 1glx = 0.0 + 1 Reorder the terms: -1 + 1 + -0.8gl + 1glx = 0.0 + 1 Combine like terms: -1 + 1 = 0 0 + -0.8gl + 1glx = 0.0 + 1 -0.8gl + 1glx = 0.0 + 1 Combine like terms: 0.0 + 1 = 1 -0.8gl + 1glx = 1 Reorder the terms: -1 + -0.8gl + 1glx = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + -0.8gl + 1glx = 0 The solution to this equation could not be determined.
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