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Simplifying 12(x + 2) = -4(x + 2) Reorder the terms: 12(2 + x) = -4(x + 2) (2 * 12 + x * 12) = -4(x + 2) (24 + 12x) = -4(x + 2) Reorder the terms: 24 + 12x = -4(2 + x) 24 + 12x = (2 * -4 + x * -4) 24 + 12x = (-8 + -4x) Solving 24 + 12x = -8 + -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. 24 + 12x + 4x = -8 + -4x + 4x Combine like terms: 12x + 4x = 16x 24 + 16x = -8 + -4x + 4x Combine like terms: -4x + 4x = 0 24 + 16x = -8 + 0 24 + 16x = -8 Add '-24' to each side of the equation. 24 + -24 + 16x = -8 + -24 Combine like terms: 24 + -24 = 0 0 + 16x = -8 + -24 16x = -8 + -24 Combine like terms: -8 + -24 = -32 16x = -32 Divide each side by '16'. x = -2 Simplifying x = -2
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