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Simplifying 2(c + 2) = 5(c + 1) + -7 Reorder the terms: 2(2 + c) = 5(c + 1) + -7 (2 * 2 + c * 2) = 5(c + 1) + -7 (4 + 2c) = 5(c + 1) + -7 Reorder the terms: 4 + 2c = 5(1 + c) + -7 4 + 2c = (1 * 5 + c * 5) + -7 4 + 2c = (5 + 5c) + -7 Reorder the terms: 4 + 2c = 5 + -7 + 5c Combine like terms: 5 + -7 = -2 4 + 2c = -2 + 5c Solving 4 + 2c = -2 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 4 + 2c + -5c = -2 + 5c + -5c Combine like terms: 2c + -5c = -3c 4 + -3c = -2 + 5c + -5c Combine like terms: 5c + -5c = 0 4 + -3c = -2 + 0 4 + -3c = -2 Add '-4' to each side of the equation. 4 + -4 + -3c = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -3c = -2 + -4 -3c = -2 + -4 Combine like terms: -2 + -4 = -6 -3c = -6 Divide each side by '-3'. c = 2 Simplifying c = 2
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