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Simplifying -4x + -81 = -8x + 31 Reorder the terms: -81 + -4x = -8x + 31 Reorder the terms: -81 + -4x = 31 + -8x Solving -81 + -4x = 31 + -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 + -4x + 8x = 31 + -8x + 8x Combine like terms: -4x + 8x = 4x -81 + 4x = 31 + -8x + 8x Combine like terms: -8x + 8x = 0 -81 + 4x = 31 + 0 -81 + 4x = 31 Add '81' to each side of the equation. -81 + 81 + 4x = 31 + 81 Combine like terms: -81 + 81 = 0 0 + 4x = 31 + 81 4x = 31 + 81 Combine like terms: 31 + 81 = 112 4x = 112 Divide each side by '4'. x = 28 Simplifying x = 28
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