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Simplifying 2(4x + 2) = 2(6x + 12) Reorder the terms: 2(2 + 4x) = 2(6x + 12) (2 * 2 + 4x * 2) = 2(6x + 12) (4 + 8x) = 2(6x + 12) Reorder the terms: 4 + 8x = 2(12 + 6x) 4 + 8x = (12 * 2 + 6x * 2) 4 + 8x = (24 + 12x) Solving 4 + 8x = 24 + 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. 4 + 8x + -12x = 24 + 12x + -12x Combine like terms: 8x + -12x = -4x 4 + -4x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + -4x = 24 + 0 4 + -4x = 24 Add '-4' to each side of the equation. 4 + -4 + -4x = 24 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 24 + -4 -4x = 24 + -4 Combine like terms: 24 + -4 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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