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