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Simplifying 6(2x + 4) = 2(3x + 6) Reorder the terms: 6(4 + 2x) = 2(3x + 6) (4 * 6 + 2x * 6) = 2(3x + 6) (24 + 12x) = 2(3x + 6) Reorder the terms: 24 + 12x = 2(6 + 3x) 24 + 12x = (6 * 2 + 3x * 2) 24 + 12x = (12 + 6x) Solving 24 + 12x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 24 + 12x + -6x = 12 + 6x + -6x Combine like terms: 12x + -6x = 6x 24 + 6x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + 6x = 12 + 0 24 + 6x = 12 Add '-24' to each side of the equation. 24 + -24 + 6x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 12 + -24 6x = 12 + -24 Combine like terms: 12 + -24 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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