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Simplifying 2[4 + -2(3 + -2x)] = 4(1 + -1x) 2[4 + (3 * -2 + -2x * -2)] = 4(1 + -1x) 2[4 + (-6 + 4x)] = 4(1 + -1x) Combine like terms: 4 + -6 = -2 2[-2 + 4x] = 4(1 + -1x) [-2 * 2 + 4x * 2] = 4(1 + -1x) [-4 + 8x] = 4(1 + -1x) -4 + 8x = (1 * 4 + -1x * 4) -4 + 8x = (4 + -4x) Solving -4 + 8x = 4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -4 + 8x + 4x = 4 + -4x + 4x Combine like terms: 8x + 4x = 12x -4 + 12x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 -4 + 12x = 4 + 0 -4 + 12x = 4 Add '4' to each side of the equation. -4 + 4 + 12x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 12x = 4 + 4 12x = 4 + 4 Combine like terms: 4 + 4 = 8 12x = 8 Divide each side by '12'. x = 0.6666666667 Simplifying x = 0.6666666667
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