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