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Simplifying 3(2 + 4x) = 2x + 4(x + 6) (2 * 3 + 4x * 3) = 2x + 4(x + 6) (6 + 12x) = 2x + 4(x + 6) Reorder the terms: 6 + 12x = 2x + 4(6 + x) 6 + 12x = 2x + (6 * 4 + x * 4) 6 + 12x = 2x + (24 + 4x) Reorder the terms: 6 + 12x = 24 + 2x + 4x Combine like terms: 2x + 4x = 6x 6 + 12x = 24 + 6x Solving 6 + 12x = 24 + 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. 6 + 12x + -6x = 24 + 6x + -6x Combine like terms: 12x + -6x = 6x 6 + 6x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 6x = 24 + 0 6 + 6x = 24 Add '-6' to each side of the equation. 6 + -6 + 6x = 24 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 24 + -6 6x = 24 + -6 Combine like terms: 24 + -6 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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