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Simplifying 5c + -42 + -11x = 3x + 42 + 3x Reorder the terms: -42 + 5c + -11x = 3x + 42 + 3x Reorder the terms: -42 + 5c + -11x = 42 + 3x + 3x Combine like terms: 3x + 3x = 6x -42 + 5c + -11x = 42 + 6x Solving -42 + 5c + -11x = 42 + 6x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 5c + 42 + -11x = 42 + 42 + 6x Reorder the terms: -42 + 42 + 5c + -11x = 42 + 42 + 6x Combine like terms: -42 + 42 = 0 0 + 5c + -11x = 42 + 42 + 6x 5c + -11x = 42 + 42 + 6x Combine like terms: 42 + 42 = 84 5c + -11x = 84 + 6x Add '11x' to each side of the equation. 5c + -11x + 11x = 84 + 6x + 11x Combine like terms: -11x + 11x = 0 5c + 0 = 84 + 6x + 11x 5c = 84 + 6x + 11x Combine like terms: 6x + 11x = 17x 5c = 84 + 17x Divide each side by '5'. c = 16.8 + 3.4x Simplifying c = 16.8 + 3.4x
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