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Simplifying 3x + -81 = 2x + -71 Reorder the terms: -81 + 3x = 2x + -71 Reorder the terms: -81 + 3x = -71 + 2x Solving -81 + 3x = -71 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -81 + 3x + -2x = -71 + 2x + -2x Combine like terms: 3x + -2x = 1x -81 + 1x = -71 + 2x + -2x Combine like terms: 2x + -2x = 0 -81 + 1x = -71 + 0 -81 + 1x = -71 Add '81' to each side of the equation. -81 + 81 + 1x = -71 + 81 Combine like terms: -81 + 81 = 0 0 + 1x = -71 + 81 1x = -71 + 81 Combine like terms: -71 + 81 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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