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Simplifying 2(4x + 2) = 4x + -12(x + -1) Reorder the terms: 2(2 + 4x) = 4x + -12(x + -1) (2 * 2 + 4x * 2) = 4x + -12(x + -1) (4 + 8x) = 4x + -12(x + -1) Reorder the terms: 4 + 8x = 4x + -12(-1 + x) 4 + 8x = 4x + (-1 * -12 + x * -12) 4 + 8x = 4x + (12 + -12x) Reorder the terms: 4 + 8x = 12 + 4x + -12x Combine like terms: 4x + -12x = -8x 4 + 8x = 12 + -8x Solving 4 + 8x = 12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 4 + 8x + 8x = 12 + -8x + 8x Combine like terms: 8x + 8x = 16x 4 + 16x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 4 + 16x = 12 + 0 4 + 16x = 12 Add '-4' to each side of the equation. 4 + -4 + 16x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 16x = 12 + -4 16x = 12 + -4 Combine like terms: 12 + -4 = 8 16x = 8 Divide each side by '16'. x = 0.5 Simplifying x = 0.5
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