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Simplifying 2(4x + 2) = 4c + -12(x + -1) Reorder the terms: 2(2 + 4x) = 4c + -12(x + -1) (2 * 2 + 4x * 2) = 4c + -12(x + -1) (4 + 8x) = 4c + -12(x + -1) Reorder the terms: 4 + 8x = 4c + -12(-1 + x) 4 + 8x = 4c + (-1 * -12 + x * -12) 4 + 8x = 4c + (12 + -12x) Reorder the terms: 4 + 8x = 12 + 4c + -12x Solving 4 + 8x = 12 + 4c + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 4 + 8x + 12x = 12 + 4c + -12x + 12x Combine like terms: 8x + 12x = 20x 4 + 20x = 12 + 4c + -12x + 12x Combine like terms: -12x + 12x = 0 4 + 20x = 12 + 4c + 0 4 + 20x = 12 + 4c Add '-4' to each side of the equation. 4 + -4 + 20x = 12 + -4 + 4c Combine like terms: 4 + -4 = 0 0 + 20x = 12 + -4 + 4c 20x = 12 + -4 + 4c Combine like terms: 12 + -4 = 8 20x = 8 + 4c Divide each side by '20'. x = 0.4 + 0.2c Simplifying x = 0.4 + 0.2c
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