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Simplifying 12c + -10 = 1 + 7(c + 7) Reorder the terms: -10 + 12c = 1 + 7(c + 7) Reorder the terms: -10 + 12c = 1 + 7(7 + c) -10 + 12c = 1 + (7 * 7 + c * 7) -10 + 12c = 1 + (49 + 7c) Combine like terms: 1 + 49 = 50 -10 + 12c = 50 + 7c Solving -10 + 12c = 50 + 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. -10 + 12c + -7c = 50 + 7c + -7c Combine like terms: 12c + -7c = 5c -10 + 5c = 50 + 7c + -7c Combine like terms: 7c + -7c = 0 -10 + 5c = 50 + 0 -10 + 5c = 50 Add '10' to each side of the equation. -10 + 10 + 5c = 50 + 10 Combine like terms: -10 + 10 = 0 0 + 5c = 50 + 10 5c = 50 + 10 Combine like terms: 50 + 10 = 60 5c = 60 Divide each side by '5'. c = 12 Simplifying c = 12
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