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Simplifying 2(4x + 12) = 4x + -12(x + -1) Reorder the terms: 2(12 + 4x) = 4x + -12(x + -1) (12 * 2 + 4x * 2) = 4x + -12(x + -1) (24 + 8x) = 4x + -12(x + -1) Reorder the terms: 24 + 8x = 4x + -12(-1 + x) 24 + 8x = 4x + (-1 * -12 + x * -12) 24 + 8x = 4x + (12 + -12x) Reorder the terms: 24 + 8x = 12 + 4x + -12x Combine like terms: 4x + -12x = -8x 24 + 8x = 12 + -8x Solving 24 + 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. 24 + 8x + 8x = 12 + -8x + 8x Combine like terms: 8x + 8x = 16x 24 + 16x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 24 + 16x = 12 + 0 24 + 16x = 12 Add '-24' to each side of the equation. 24 + -24 + 16x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 16x = 12 + -24 16x = 12 + -24 Combine like terms: 12 + -24 = -12 16x = -12 Divide each side by '16'. x = -0.75 Simplifying x = -0.75
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