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Simplifying 12[x + 8] = -3[x + -47] Reorder the terms: 12[8 + x] = -3[x + -47] [8 * 12 + x * 12] = -3[x + -47] [96 + 12x] = -3[x + -47] Reorder the terms: 96 + 12x = -3[-47 + x] 96 + 12x = [-47 * -3 + x * -3] 96 + 12x = [141 + -3x] Solving 96 + 12x = 141 + -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. 96 + 12x + 3x = 141 + -3x + 3x Combine like terms: 12x + 3x = 15x 96 + 15x = 141 + -3x + 3x Combine like terms: -3x + 3x = 0 96 + 15x = 141 + 0 96 + 15x = 141 Add '-96' to each side of the equation. 96 + -96 + 15x = 141 + -96 Combine like terms: 96 + -96 = 0 0 + 15x = 141 + -96 15x = 141 + -96 Combine like terms: 141 + -96 = 45 15x = 45 Divide each side by '15'. x = 3 Simplifying x = 3
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