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Simplifying 2x + -9 = 71 + -8x Reorder the terms: -9 + 2x = 71 + -8x Solving -9 + 2x = 71 + -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 + 2x + 8x = 71 + -8x + 8x Combine like terms: 2x + 8x = 10x -9 + 10x = 71 + -8x + 8x Combine like terms: -8x + 8x = 0 -9 + 10x = 71 + 0 -9 + 10x = 71 Add '9' to each side of the equation. -9 + 9 + 10x = 71 + 9 Combine like terms: -9 + 9 = 0 0 + 10x = 71 + 9 10x = 71 + 9 Combine like terms: 71 + 9 = 80 10x = 80 Divide each side by '10'. x = 8 Simplifying x = 8
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