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Simplifying 12[x + 3] = -3[x + -27] Reorder the terms: 12[3 + x] = -3[x + -27] [3 * 12 + x * 12] = -3[x + -27] [36 + 12x] = -3[x + -27] Reorder the terms: 36 + 12x = -3[-27 + x] 36 + 12x = [-27 * -3 + x * -3] 36 + 12x = [81 + -3x] Solving 36 + 12x = 81 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 36 + 12x + 3x = 81 + -3x + 3x Combine like terms: 12x + 3x = 15x 36 + 15x = 81 + -3x + 3x Combine like terms: -3x + 3x = 0 36 + 15x = 81 + 0 36 + 15x = 81 Add '-36' to each side of the equation. 36 + -36 + 15x = 81 + -36 Combine like terms: 36 + -36 = 0 0 + 15x = 81 + -36 15x = 81 + -36 Combine like terms: 81 + -36 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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