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Simplifying 3(12 + 8x) = 3(6x + 4) (12 * 3 + 8x * 3) = 3(6x + 4) (36 + 24x) = 3(6x + 4) Reorder the terms: 36 + 24x = 3(4 + 6x) 36 + 24x = (4 * 3 + 6x * 3) 36 + 24x = (12 + 18x) Solving 36 + 24x = 12 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 36 + 24x + -18x = 12 + 18x + -18x Combine like terms: 24x + -18x = 6x 36 + 6x = 12 + 18x + -18x Combine like terms: 18x + -18x = 0 36 + 6x = 12 + 0 36 + 6x = 12 Add '-36' to each side of the equation. 36 + -36 + 6x = 12 + -36 Combine like terms: 36 + -36 = 0 0 + 6x = 12 + -36 6x = 12 + -36 Combine like terms: 12 + -36 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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