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Simplifying 12x + 81 + -3x = 7x + 67 Reorder the terms: 81 + 12x + -3x = 7x + 67 Combine like terms: 12x + -3x = 9x 81 + 9x = 7x + 67 Reorder the terms: 81 + 9x = 67 + 7x Solving 81 + 9x = 67 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 81 + 9x + -7x = 67 + 7x + -7x Combine like terms: 9x + -7x = 2x 81 + 2x = 67 + 7x + -7x Combine like terms: 7x + -7x = 0 81 + 2x = 67 + 0 81 + 2x = 67 Add '-81' to each side of the equation. 81 + -81 + 2x = 67 + -81 Combine like terms: 81 + -81 = 0 0 + 2x = 67 + -81 2x = 67 + -81 Combine like terms: 67 + -81 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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