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