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Simplifying 6(x + 4) = 12(3 + x) Reorder the terms: 6(4 + x) = 12(3 + x) (4 * 6 + x * 6) = 12(3 + x) (24 + 6x) = 12(3 + x) 24 + 6x = (3 * 12 + x * 12) 24 + 6x = (36 + 12x) Solving 24 + 6x = 36 + 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. 24 + 6x + -12x = 36 + 12x + -12x Combine like terms: 6x + -12x = -6x 24 + -6x = 36 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + -6x = 36 + 0 24 + -6x = 36 Add '-24' to each side of the equation. 24 + -24 + -6x = 36 + -24 Combine like terms: 24 + -24 = 0 0 + -6x = 36 + -24 -6x = 36 + -24 Combine like terms: 36 + -24 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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