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Simplifying 7(12 + 4c) + -6(11 + 9x) = 122 (12 * 7 + 4c * 7) + -6(11 + 9x) = 122 (84 + 28c) + -6(11 + 9x) = 122 84 + 28c + (11 * -6 + 9x * -6) = 122 84 + 28c + (-66 + -54x) = 122 Reorder the terms: 84 + -66 + 28c + -54x = 122 Combine like terms: 84 + -66 = 18 18 + 28c + -54x = 122 Solving 18 + 28c + -54x = 122 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 28c + -18 + -54x = 122 + -18 Reorder the terms: 18 + -18 + 28c + -54x = 122 + -18 Combine like terms: 18 + -18 = 0 0 + 28c + -54x = 122 + -18 28c + -54x = 122 + -18 Combine like terms: 122 + -18 = 104 28c + -54x = 104 Add '54x' to each side of the equation. 28c + -54x + 54x = 104 + 54x Combine like terms: -54x + 54x = 0 28c + 0 = 104 + 54x 28c = 104 + 54x Divide each side by '28'. c = 3.714285714 + 1.928571429x Simplifying c = 3.714285714 + 1.928571429x
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