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Simplifying (3x + -1c) + -5 = x + -7 Reorder the terms: (-1c + 3x) + -5 = x + -7 Remove parenthesis around (-1c + 3x) -1c + 3x + -5 = x + -7 Reorder the terms: -5 + -1c + 3x = x + -7 Reorder the terms: -5 + -1c + 3x = -7 + x Solving -5 + -1c + 3x = -7 + x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -1c + 5 + 3x = -7 + 5 + x Reorder the terms: -5 + 5 + -1c + 3x = -7 + 5 + x Combine like terms: -5 + 5 = 0 0 + -1c + 3x = -7 + 5 + x -1c + 3x = -7 + 5 + x Combine like terms: -7 + 5 = -2 -1c + 3x = -2 + x Add '-3x' to each side of the equation. -1c + 3x + -3x = -2 + x + -3x Combine like terms: 3x + -3x = 0 -1c + 0 = -2 + x + -3x -1c = -2 + x + -3x Combine like terms: x + -3x = -2x -1c = -2 + -2x Divide each side by '-1'. c = 2 + 2x Simplifying c = 2 + 2x
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