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Simplifying 7x + 3(4c + -1) = -79 Reorder the terms: 7x + 3(-1 + 4c) = -79 7x + (-1 * 3 + 4c * 3) = -79 7x + (-3 + 12c) = -79 Reorder the terms: -3 + 12c + 7x = -79 Solving -3 + 12c + 7x = -79 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 12c + 3 + 7x = -79 + 3 Reorder the terms: -3 + 3 + 12c + 7x = -79 + 3 Combine like terms: -3 + 3 = 0 0 + 12c + 7x = -79 + 3 12c + 7x = -79 + 3 Combine like terms: -79 + 3 = -76 12c + 7x = -76 Add '-7x' to each side of the equation. 12c + 7x + -7x = -76 + -7x Combine like terms: 7x + -7x = 0 12c + 0 = -76 + -7x 12c = -76 + -7x Divide each side by '12'. c = -6.333333333 + -0.5833333333x Simplifying c = -6.333333333 + -0.5833333333x
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