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