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Simplifying log(5)(c + -7) + log(5)(x + 17) = 2 Reorder the terms: glo * 5(-7 + c) + log(5)(x + 17) = 2 Reorder the terms for easier multiplication: 5glo(-7 + c) + log(5)(x + 17) = 2 (-7 * 5glo + c * 5glo) + log(5)(x + 17) = 2 Reorder the terms: (5cglo + -35glo) + log(5)(x + 17) = 2 (5cglo + -35glo) + log(5)(x + 17) = 2 Reorder the terms: 5cglo + -35glo + glo * 5(17 + x) = 2 Reorder the terms for easier multiplication: 5cglo + -35glo + 5glo(17 + x) = 2 5cglo + -35glo + (17 * 5glo + x * 5glo) = 2 5cglo + -35glo + (85glo + 5glox) = 2 Combine like terms: -35glo + 85glo = 50glo 5cglo + 50glo + 5glox = 2 Solving 5cglo + 50glo + 5glox = 2 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-50glo' to each side of the equation. 5cglo + 50glo + -50glo + 5glox = 2 + -50glo Combine like terms: 50glo + -50glo = 0 5cglo + 0 + 5glox = 2 + -50glo 5cglo + 5glox = 2 + -50glo Add '-5glox' to each side of the equation. 5cglo + 5glox + -5glox = 2 + -50glo + -5glox Combine like terms: 5glox + -5glox = 0 5cglo + 0 = 2 + -50glo + -5glox 5cglo = 2 + -50glo + -5glox Divide each side by '5glo'. c = 0.4g-1l-1o-1 + -10 + -1x Simplifying c = 0.4g-1l-1o-1 + -10 + -1x Reorder the terms: c = -10 + 0.4g-1l-1o-1 + -1x
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