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Simplifying 7(c + 5) = -7(c + 5) Reorder the terms: 7(5 + c) = -7(c + 5) (5 * 7 + c * 7) = -7(c + 5) (35 + 7c) = -7(c + 5) Reorder the terms: 35 + 7c = -7(5 + c) 35 + 7c = (5 * -7 + c * -7) 35 + 7c = (-35 + -7c) Solving 35 + 7c = -35 + -7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '7c' to each side of the equation. 35 + 7c + 7c = -35 + -7c + 7c Combine like terms: 7c + 7c = 14c 35 + 14c = -35 + -7c + 7c Combine like terms: -7c + 7c = 0 35 + 14c = -35 + 0 35 + 14c = -35 Add '-35' to each side of the equation. 35 + -35 + 14c = -35 + -35 Combine like terms: 35 + -35 = 0 0 + 14c = -35 + -35 14c = -35 + -35 Combine like terms: -35 + -35 = -70 14c = -70 Divide each side by '14'. c = -5 Simplifying c = -5
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