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Simplifying 6(x + 2) = -4(4 + -1x) Reorder the terms: 6(2 + x) = -4(4 + -1x) (2 * 6 + x * 6) = -4(4 + -1x) (12 + 6x) = -4(4 + -1x) 12 + 6x = (4 * -4 + -1x * -4) 12 + 6x = (-16 + 4x) Solving 12 + 6x = -16 + 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 + 6x + -4x = -16 + 4x + -4x Combine like terms: 6x + -4x = 2x 12 + 2x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 2x = -16 + 0 12 + 2x = -16 Add '-12' to each side of the equation. 12 + -12 + 2x = -16 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = -16 + -12 2x = -16 + -12 Combine like terms: -16 + -12 = -28 2x = -28 Divide each side by '2'. x = -14 Simplifying x = -14
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