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Simplifying x2 + -5x = x2 + 8x + 6 Reorder the terms: -5x + x2 = x2 + 8x + 6 Reorder the terms: -5x + x2 = 6 + 8x + x2 Add '-1x2' to each side of the equation. -5x + x2 + -1x2 = 6 + 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5x + 0 = 6 + 8x + x2 + -1x2 -5x = 6 + 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5x = 6 + 8x + 0 -5x = 6 + 8x Solving -5x = 6 + 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. -5x + -8x = 6 + 8x + -8x Combine like terms: -5x + -8x = -13x -13x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 -13x = 6 + 0 -13x = 6 Divide each side by '-13'. x = -0.4615384615 Simplifying x = -0.4615384615
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