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Simplifying 3x + 81 = 9(x + 9) + -6 Reorder the terms: 81 + 3x = 9(x + 9) + -6 Reorder the terms: 81 + 3x = 9(9 + x) + -6 81 + 3x = (9 * 9 + x * 9) + -6 81 + 3x = (81 + 9x) + -6 Reorder the terms: 81 + 3x = 81 + -6 + 9x Combine like terms: 81 + -6 = 75 81 + 3x = 75 + 9x Solving 81 + 3x = 75 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 81 + 3x + -9x = 75 + 9x + -9x Combine like terms: 3x + -9x = -6x 81 + -6x = 75 + 9x + -9x Combine like terms: 9x + -9x = 0 81 + -6x = 75 + 0 81 + -6x = 75 Add '-81' to each side of the equation. 81 + -81 + -6x = 75 + -81 Combine like terms: 81 + -81 = 0 0 + -6x = 75 + -81 -6x = 75 + -81 Combine like terms: 75 + -81 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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