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Simplifying 81 = 6x + 3(5x + -8) Reorder the terms: 81 = 6x + 3(-8 + 5x) 81 = 6x + (-8 * 3 + 5x * 3) 81 = 6x + (-24 + 15x) Reorder the terms: 81 = -24 + 6x + 15x Combine like terms: 6x + 15x = 21x 81 = -24 + 21x Solving 81 = -24 + 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. 81 + -21x = -24 + 21x + -21x Combine like terms: 21x + -21x = 0 81 + -21x = -24 + 0 81 + -21x = -24 Add '-81' to each side of the equation. 81 + -81 + -21x = -24 + -81 Combine like terms: 81 + -81 = 0 0 + -21x = -24 + -81 -21x = -24 + -81 Combine like terms: -24 + -81 = -105 -21x = -105 Divide each side by '-21'. x = 5 Simplifying x = 5
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