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Simplifying x * 9 + -81 = x * 6 + -12 Reorder the terms for easier multiplication: 9x + -81 = x * 6 + -12 Reorder the terms: -81 + 9x = x * 6 + -12 Reorder the terms for easier multiplication: -81 + 9x = 6x + -12 Reorder the terms: -81 + 9x = -12 + 6x Solving -81 + 9x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -81 + 9x + -6x = -12 + 6x + -6x Combine like terms: 9x + -6x = 3x -81 + 3x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -81 + 3x = -12 + 0 -81 + 3x = -12 Add '81' to each side of the equation. -81 + 81 + 3x = -12 + 81 Combine like terms: -81 + 81 = 0 0 + 3x = -12 + 81 3x = -12 + 81 Combine like terms: -12 + 81 = 69 3x = 69 Divide each side by '3'. x = 23 Simplifying x = 23
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