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Simplifying -14 = 10x + -1(3c + -11) Reorder the terms: -14 = 10x + -1(-11 + 3c) -14 = 10x + (-11 * -1 + 3c * -1) -14 = 10x + (11 + -3c) Reorder the terms: -14 = 11 + -3c + 10x Solving -14 = 11 + -3c + 10x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3c' to each side of the equation. -14 + 3c = 11 + -3c + 3c + 10x Combine like terms: -3c + 3c = 0 -14 + 3c = 11 + 0 + 10x -14 + 3c = 11 + 10x Add '14' to each side of the equation. -14 + 14 + 3c = 11 + 14 + 10x Combine like terms: -14 + 14 = 0 0 + 3c = 11 + 14 + 10x 3c = 11 + 14 + 10x Combine like terms: 11 + 14 = 25 3c = 25 + 10x Divide each side by '3'. c = 8.333333333 + 3.333333333x Simplifying c = 8.333333333 + 3.333333333x
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