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Simplifying 2(x + 12) = -4(x + -6) Reorder the terms: 2(12 + x) = -4(x + -6) (12 * 2 + x * 2) = -4(x + -6) (24 + 2x) = -4(x + -6) Reorder the terms: 24 + 2x = -4(-6 + x) 24 + 2x = (-6 * -4 + x * -4) 24 + 2x = (24 + -4x) Add '-24' to each side of the equation. 24 + -24 + 2x = 24 + -24 + -4x Combine like terms: 24 + -24 = 0 0 + 2x = 24 + -24 + -4x 2x = 24 + -24 + -4x Combine like terms: 24 + -24 = 0 2x = 0 + -4x 2x = -4x Solving 2x = -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. 2x + 4x = -4x + 4x Combine like terms: 2x + 4x = 6x 6x = -4x + 4x Combine like terms: -4x + 4x = 0 6x = 0 Divide each side by '6'. x = 0 Simplifying x = 0
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