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Simplifying 81 = 3x + -4(6x + 6) Reorder the terms: 81 = 3x + -4(6 + 6x) 81 = 3x + (6 * -4 + 6x * -4) 81 = 3x + (-24 + -24x) Reorder the terms: 81 = -24 + 3x + -24x Combine like terms: 3x + -24x = -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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