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Simplifying 81 = 6x + -7(3x + 12) Reorder the terms: 81 = 6x + -7(12 + 3x) 81 = 6x + (12 * -7 + 3x * -7) 81 = 6x + (-84 + -21x) Reorder the terms: 81 = -84 + 6x + -21x Combine like terms: 6x + -21x = -15x 81 = -84 + -15x Solving 81 = -84 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 81 + 15x = -84 + -15x + 15x Combine like terms: -15x + 15x = 0 81 + 15x = -84 + 0 81 + 15x = -84 Add '-81' to each side of the equation. 81 + -81 + 15x = -84 + -81 Combine like terms: 81 + -81 = 0 0 + 15x = -84 + -81 15x = -84 + -81 Combine like terms: -84 + -81 = -165 15x = -165 Divide each side by '15'. x = -11 Simplifying x = -11
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