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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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