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