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Simplifying 5x + -9 = 82 + -8x Reorder the terms: -9 + 5x = 82 + -8x Solving -9 + 5x = 82 + -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. -9 + 5x + 8x = 82 + -8x + 8x Combine like terms: 5x + 8x = 13x -9 + 13x = 82 + -8x + 8x Combine like terms: -8x + 8x = 0 -9 + 13x = 82 + 0 -9 + 13x = 82 Add '9' to each side of the equation. -9 + 9 + 13x = 82 + 9 Combine like terms: -9 + 9 = 0 0 + 13x = 82 + 9 13x = 82 + 9 Combine like terms: 82 + 9 = 91 13x = 91 Divide each side by '13'. x = 7 Simplifying x = 7
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