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Simplifying 2x + 81 = -8x + 71 Reorder the terms: 81 + 2x = -8x + 71 Reorder the terms: 81 + 2x = 71 + -8x Solving 81 + 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. 81 + 2x + 8x = 71 + -8x + 8x Combine like terms: 2x + 8x = 10x 81 + 10x = 71 + -8x + 8x Combine like terms: -8x + 8x = 0 81 + 10x = 71 + 0 81 + 10x = 71 Add '-81' to each side of the equation. 81 + -81 + 10x = 71 + -81 Combine like terms: 81 + -81 = 0 0 + 10x = 71 + -81 10x = 71 + -81 Combine like terms: 71 + -81 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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