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Simplifying -1logb + -3logc + 2a = logx Reorder the terms: 2a + -1bglo + -3cglo = logx Solving 2a + -1bglo + -3cglo = glox Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'bglo' to each side of the equation. 2a + -1bglo + bglo + -3cglo = bglo + glox Combine like terms: -1bglo + bglo = 0 2a + 0 + -3cglo = bglo + glox 2a + -3cglo = bglo + glox Add '3cglo' to each side of the equation. 2a + -3cglo + 3cglo = bglo + 3cglo + glox Combine like terms: -3cglo + 3cglo = 0 2a + 0 = bglo + 3cglo + glox 2a = bglo + 3cglo + glox Divide each side by '2'. a = 0.5bglo + 1.5cglo + 0.5glox Simplifying a = 0.5bglo + 1.5cglo + 0.5glox
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