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Simplifying 5xsq + 3x + -2xsq + 7x + -8 = 0 Reorder the terms: -8 + 5qsx + -2qsx + 3x + 7x = 0 Combine like terms: 5qsx + -2qsx = 3qsx -8 + 3qsx + 3x + 7x = 0 Combine like terms: 3x + 7x = 10x -8 + 3qsx + 10x = 0 Solving -8 + 3qsx + 10x = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 3qsx + 8 + 10x = 0 + 8 Reorder the terms: -8 + 8 + 3qsx + 10x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3qsx + 10x = 0 + 8 3qsx + 10x = 0 + 8 Combine like terms: 0 + 8 = 8 3qsx + 10x = 8 Add '-10x' to each side of the equation. 3qsx + 10x + -10x = 8 + -10x Combine like terms: 10x + -10x = 0 3qsx + 0 = 8 + -10x 3qsx = 8 + -10x Divide each side by '3sx'. q = 2.666666667s-1x-1 + -3.333333333s-1 Simplifying q = 2.666666667s-1x-1 + -3.333333333s-1 Reorder the terms: q = -3.333333333s-1 + 2.666666667s-1x-1
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