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Simplifying ld(2 + x) + lg(4 + x) = 3 (2 * dl + x * dl) + lg(4 + x) = 3 (2dl + dlx) + lg(4 + x) = 3 2dl + dlx + (4 * gl + x * gl) = 3 2dl + dlx + (4gl + glx) = 3 Solving 2dl + dlx + 4gl + glx = 3 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4gl' to each side of the equation. 2dl + dlx + 4gl + -4gl + glx = 3 + -4gl Combine like terms: 4gl + -4gl = 0 2dl + dlx + 0 + glx = 3 + -4gl 2dl + dlx + glx = 3 + -4gl Add '-1glx' to each side of the equation. 2dl + dlx + glx + -1glx = 3 + -4gl + -1glx Combine like terms: glx + -1glx = 0 2dl + dlx + 0 = 3 + -4gl + -1glx 2dl + dlx = 3 + -4gl + -1glx Reorder the terms: -3 + 2dl + dlx + 4gl + glx = 3 + -4gl + -1glx + -3 + 4gl + glx Reorder the terms: -3 + 2dl + dlx + 4gl + glx = 3 + -3 + -4gl + 4gl + -1glx + glx Combine like terms: 3 + -3 = 0 -3 + 2dl + dlx + 4gl + glx = 0 + -4gl + 4gl + -1glx + glx -3 + 2dl + dlx + 4gl + glx = -4gl + 4gl + -1glx + glx Combine like terms: -4gl + 4gl = 0 -3 + 2dl + dlx + 4gl + glx = 0 + -1glx + glx -3 + 2dl + dlx + 4gl + glx = -1glx + glx Combine like terms: -1glx + glx = 0 -3 + 2dl + dlx + 4gl + glx = 0 The solution to this equation could not be determined.
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