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Simplifying 4x + -9(9 + -3x) = 8x + 1 4x + (9 * -9 + -3x * -9) = 8x + 1 4x + (-81 + 27x) = 8x + 1 Reorder the terms: -81 + 4x + 27x = 8x + 1 Combine like terms: 4x + 27x = 31x -81 + 31x = 8x + 1 Reorder the terms: -81 + 31x = 1 + 8x Solving -81 + 31x = 1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -81 + 31x + -8x = 1 + 8x + -8x Combine like terms: 31x + -8x = 23x -81 + 23x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 -81 + 23x = 1 + 0 -81 + 23x = 1 Add '81' to each side of the equation. -81 + 81 + 23x = 1 + 81 Combine like terms: -81 + 81 = 0 0 + 23x = 1 + 81 23x = 1 + 81 Combine like terms: 1 + 81 = 82 23x = 82 Divide each side by '23'. x = 3.565217391 Simplifying x = 3.565217391
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