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Simplifying 4(x + 3) + -2(-1c + 3) = 6 + -1x Reorder the terms: 4(3 + x) + -2(-1c + 3) = 6 + -1x (3 * 4 + x * 4) + -2(-1c + 3) = 6 + -1x (12 + 4x) + -2(-1c + 3) = 6 + -1x Reorder the terms: 12 + 4x + -2(3 + -1c) = 6 + -1x 12 + 4x + (3 * -2 + -1c * -2) = 6 + -1x 12 + 4x + (-6 + 2c) = 6 + -1x Reorder the terms: 12 + -6 + 2c + 4x = 6 + -1x Combine like terms: 12 + -6 = 6 6 + 2c + 4x = 6 + -1x Add '-6' to each side of the equation. 6 + 2c + -6 + 4x = 6 + -6 + -1x Reorder the terms: 6 + -6 + 2c + 4x = 6 + -6 + -1x Combine like terms: 6 + -6 = 0 0 + 2c + 4x = 6 + -6 + -1x 2c + 4x = 6 + -6 + -1x Combine like terms: 6 + -6 = 0 2c + 4x = 0 + -1x 2c + 4x = -1x Solving 2c + 4x = -1x 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 = -1x + -4x Combine like terms: 4x + -4x = 0 2c + 0 = -1x + -4x 2c = -1x + -4x Combine like terms: -1x + -4x = -5x 2c = -5x Divide each side by '2'. c = -2.5x Simplifying c = -2.5x
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