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Simplifying (x + 3) + -2c + -1(1 + -3x) = 2 Reorder the terms: (3 + x) + -2c + -1(1 + -3x) = 2 Remove parenthesis around (3 + x) 3 + x + -2c + -1(1 + -3x) = 2 3 + x + -2c + (1 * -1 + -3x * -1) = 2 3 + x + -2c + (-1 + 3x) = 2 Reorder the terms: 3 + -1 + -2c + x + 3x = 2 Combine like terms: 3 + -1 = 2 2 + -2c + x + 3x = 2 Combine like terms: x + 3x = 4x 2 + -2c + 4x = 2 Add '-2' to each side of the equation. 2 + -2c + -2 + 4x = 2 + -2 Reorder the terms: 2 + -2 + -2c + 4x = 2 + -2 Combine like terms: 2 + -2 = 0 0 + -2c + 4x = 2 + -2 -2c + 4x = 2 + -2 Combine like terms: 2 + -2 = 0 -2c + 4x = 0 Solving -2c + 4x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4x' to each side of the equation. -2c + 4x + -4x = 0 + -4x Combine like terms: 4x + -4x = 0 -2c + 0 = 0 + -4x -2c = 0 + -4x Remove the zero: -2c = -4x Divide each side by '-2'. c = 2x Simplifying c = 2x
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