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Simplifying 9x + -8 + 8x = 6x + 24 + -5x Reorder the terms: -8 + 9x + 8x = 6x + 24 + -5x Combine like terms: 9x + 8x = 17x -8 + 17x = 6x + 24 + -5x Reorder the terms: -8 + 17x = 24 + 6x + -5x Combine like terms: 6x + -5x = 1x -8 + 17x = 24 + 1x Solving -8 + 17x = 24 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -8 + 17x + -1x = 24 + 1x + -1x Combine like terms: 17x + -1x = 16x -8 + 16x = 24 + 1x + -1x Combine like terms: 1x + -1x = 0 -8 + 16x = 24 + 0 -8 + 16x = 24 Add '8' to each side of the equation. -8 + 8 + 16x = 24 + 8 Combine like terms: -8 + 8 = 0 0 + 16x = 24 + 8 16x = 24 + 8 Combine like terms: 24 + 8 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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