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Simplifying 3c + 5x + -10 = 78 Reorder the terms: -10 + 3c + 5x = 78 Solving -10 + 3c + 5x = 78 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 3c + 10 + 5x = 78 + 10 Reorder the terms: -10 + 10 + 3c + 5x = 78 + 10 Combine like terms: -10 + 10 = 0 0 + 3c + 5x = 78 + 10 3c + 5x = 78 + 10 Combine like terms: 78 + 10 = 88 3c + 5x = 88 Add '-5x' to each side of the equation. 3c + 5x + -5x = 88 + -5x Combine like terms: 5x + -5x = 0 3c + 0 = 88 + -5x 3c = 88 + -5x Divide each side by '3'. c = 29.33333333 + -1.666666667x Simplifying c = 29.33333333 + -1.666666667x
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