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Simplifying 2(4 + 4x) = 12x + 12 (4 * 2 + 4x * 2) = 12x + 12 (8 + 8x) = 12x + 12 Reorder the terms: 8 + 8x = 12 + 12x Solving 8 + 8x = 12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8 + 8x + -12x = 12 + 12x + -12x Combine like terms: 8x + -12x = -4x 8 + -4x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + -4x = 12 + 0 8 + -4x = 12 Add '-8' to each side of the equation. 8 + -8 + -4x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = 12 + -8 -4x = 12 + -8 Combine like terms: 12 + -8 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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