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Simplifying 7(c + -7) + 4c = 2(c + 5) Reorder the terms: 7(-7 + c) + 4c = 2(c + 5) (-7 * 7 + c * 7) + 4c = 2(c + 5) (-49 + 7c) + 4c = 2(c + 5) Combine like terms: 7c + 4c = 11c -49 + 11c = 2(c + 5) Reorder the terms: -49 + 11c = 2(5 + c) -49 + 11c = (5 * 2 + c * 2) -49 + 11c = (10 + 2c) Solving -49 + 11c = 10 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -49 + 11c + -2c = 10 + 2c + -2c Combine like terms: 11c + -2c = 9c -49 + 9c = 10 + 2c + -2c Combine like terms: 2c + -2c = 0 -49 + 9c = 10 + 0 -49 + 9c = 10 Add '49' to each side of the equation. -49 + 49 + 9c = 10 + 49 Combine like terms: -49 + 49 = 0 0 + 9c = 10 + 49 9c = 10 + 49 Combine like terms: 10 + 49 = 59 9c = 59 Divide each side by '9'. c = 6.555555556 Simplifying c = 6.555555556
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