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Simplifying 12(x + 12) = -4(x + 2) Reorder the terms: 12(12 + x) = -4(x + 2) (12 * 12 + x * 12) = -4(x + 2) (144 + 12x) = -4(x + 2) Reorder the terms: 144 + 12x = -4(2 + x) 144 + 12x = (2 * -4 + x * -4) 144 + 12x = (-8 + -4x) Solving 144 + 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. 144 + 12x + 4x = -8 + -4x + 4x Combine like terms: 12x + 4x = 16x 144 + 16x = -8 + -4x + 4x Combine like terms: -4x + 4x = 0 144 + 16x = -8 + 0 144 + 16x = -8 Add '-144' to each side of the equation. 144 + -144 + 16x = -8 + -144 Combine like terms: 144 + -144 = 0 0 + 16x = -8 + -144 16x = -8 + -144 Combine like terms: -8 + -144 = -152 16x = -152 Divide each side by '16'. x = -9.5 Simplifying x = -9.5
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