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Simplifying 27 = 2x + 7 + -1c + 3 + x + -1 Reorder the terms: 27 = 7 + 3 + -1 + -1c + 2x + x Combine like terms: 7 + 3 = 10 27 = 10 + -1 + -1c + 2x + x Combine like terms: 10 + -1 = 9 27 = 9 + -1c + 2x + x Combine like terms: 2x + x = 3x 27 = 9 + -1c + 3x Solving 27 = 9 + -1c + 3x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'c' to each side of the equation. 27 + c = 9 + -1c + c + 3x Combine like terms: -1c + c = 0 27 + c = 9 + 0 + 3x 27 + c = 9 + 3x Add '-27' to each side of the equation. 27 + -27 + c = 9 + -27 + 3x Combine like terms: 27 + -27 = 0 0 + c = 9 + -27 + 3x c = 9 + -27 + 3x Combine like terms: 9 + -27 = -18 c = -18 + 3x Simplifying c = -18 + 3x
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