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Simplifying 5x + 5c + 6g + 7h + 8l = 10 Reorder the terms: 5c + 6g + 7h + 8l + 5x = 10 Solving 5c + 6g + 7h + 8l + 5x = 10 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6g' to each side of the equation. 5c + 6g + 7h + 8l + -6g + 5x = 10 + -6g Reorder the terms: 5c + 6g + -6g + 7h + 8l + 5x = 10 + -6g Combine like terms: 6g + -6g = 0 5c + 0 + 7h + 8l + 5x = 10 + -6g 5c + 7h + 8l + 5x = 10 + -6g Add '-7h' to each side of the equation. 5c + 7h + 8l + -7h + 5x = 10 + -6g + -7h Reorder the terms: 5c + 7h + -7h + 8l + 5x = 10 + -6g + -7h Combine like terms: 7h + -7h = 0 5c + 0 + 8l + 5x = 10 + -6g + -7h 5c + 8l + 5x = 10 + -6g + -7h Add '-8l' to each side of the equation. 5c + 8l + -8l + 5x = 10 + -6g + -7h + -8l Combine like terms: 8l + -8l = 0 5c + 0 + 5x = 10 + -6g + -7h + -8l 5c + 5x = 10 + -6g + -7h + -8l Add '-5x' to each side of the equation. 5c + 5x + -5x = 10 + -6g + -7h + -8l + -5x Combine like terms: 5x + -5x = 0 5c + 0 = 10 + -6g + -7h + -8l + -5x 5c = 10 + -6g + -7h + -8l + -5x Divide each side by '5'. c = 2 + -1.2g + -1.4h + -1.6l + -1x Simplifying c = 2 + -1.2g + -1.4h + -1.6l + -1x
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