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Simplifying 12[2x + 3] = 3[9 + 7x] Reorder the terms: 12[3 + 2x] = 3[9 + 7x] [3 * 12 + 2x * 12] = 3[9 + 7x] [36 + 24x] = 3[9 + 7x] 36 + 24x = [9 * 3 + 7x * 3] 36 + 24x = [27 + 21x] Solving 36 + 24x = 27 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 36 + 24x + -21x = 27 + 21x + -21x Combine like terms: 24x + -21x = 3x 36 + 3x = 27 + 21x + -21x Combine like terms: 21x + -21x = 0 36 + 3x = 27 + 0 36 + 3x = 27 Add '-36' to each side of the equation. 36 + -36 + 3x = 27 + -36 Combine like terms: 36 + -36 = 0 0 + 3x = 27 + -36 3x = 27 + -36 Combine like terms: 27 + -36 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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