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Simplifying 7(3x + 12) + -6 = (-90) Reorder the terms: 7(12 + 3x) + -6 = (-90) (12 * 7 + 3x * 7) + -6 = (-90) (84 + 21x) + -6 = (-90) Reorder the terms: 84 + -6 + 21x = (-90) Combine like terms: 84 + -6 = 78 78 + 21x = (-90) 78 + 21x = -90 Solving 78 + 21x = -90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-78' to each side of the equation. 78 + -78 + 21x = -90 + -78 Combine like terms: 78 + -78 = 0 0 + 21x = -90 + -78 21x = -90 + -78 Combine like terms: -90 + -78 = -168 21x = -168 Divide each side by '21'. x = -8 Simplifying x = -8
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