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Simplifying 3(x + 3) + -2(c + -1) = 4(3x) Reorder the terms: 3(3 + x) + -2(c + -1) = 4(3x) (3 * 3 + x * 3) + -2(c + -1) = 4(3x) (9 + 3x) + -2(c + -1) = 4(3x) Reorder the terms: 9 + 3x + -2(-1 + c) = 4(3x) 9 + 3x + (-1 * -2 + c * -2) = 4(3x) 9 + 3x + (2 + -2c) = 4(3x) Reorder the terms: 9 + 2 + -2c + 3x = 4(3x) Combine like terms: 9 + 2 = 11 11 + -2c + 3x = 4(3x) Remove parenthesis around (3x) 11 + -2c + 3x = 4 * 3x Multiply 4 * 3 11 + -2c + 3x = 12x Solving 11 + -2c + 3x = 12x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -2c + -11 + 3x = -11 + 12x Reorder the terms: 11 + -11 + -2c + 3x = -11 + 12x Combine like terms: 11 + -11 = 0 0 + -2c + 3x = -11 + 12x -2c + 3x = -11 + 12x Add '-3x' to each side of the equation. -2c + 3x + -3x = -11 + 12x + -3x Combine like terms: 3x + -3x = 0 -2c + 0 = -11 + 12x + -3x -2c = -11 + 12x + -3x Combine like terms: 12x + -3x = 9x -2c = -11 + 9x Divide each side by '-2'. c = 5.5 + -4.5x Simplifying c = 5.5 + -4.5x
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