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Simplifying 5(c + 2) + -2(c + 1) = 17 Reorder the terms: 5(2 + c) + -2(c + 1) = 17 (2 * 5 + c * 5) + -2(c + 1) = 17 (10 + 5c) + -2(c + 1) = 17 Reorder the terms: 10 + 5c + -2(1 + c) = 17 10 + 5c + (1 * -2 + c * -2) = 17 10 + 5c + (-2 + -2c) = 17 Reorder the terms: 10 + -2 + 5c + -2c = 17 Combine like terms: 10 + -2 = 8 8 + 5c + -2c = 17 Combine like terms: 5c + -2c = 3c 8 + 3c = 17 Solving 8 + 3c = 17 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3c = 17 + -8 Combine like terms: 8 + -8 = 0 0 + 3c = 17 + -8 3c = 17 + -8 Combine like terms: 17 + -8 = 9 3c = 9 Divide each side by '3'. c = 3 Simplifying c = 3
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