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Simplifying 3x2 + 17x + -8 = 3x2 + 8x + 6 Reorder the terms: -8 + 17x + 3x2 = 3x2 + 8x + 6 Reorder the terms: -8 + 17x + 3x2 = 6 + 8x + 3x2 Add '-3x2' to each side of the equation. -8 + 17x + 3x2 + -3x2 = 6 + 8x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -8 + 17x + 0 = 6 + 8x + 3x2 + -3x2 -8 + 17x = 6 + 8x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -8 + 17x = 6 + 8x + 0 -8 + 17x = 6 + 8x Solving -8 + 17x = 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. -8 + 17x + -8x = 6 + 8x + -8x Combine like terms: 17x + -8x = 9x -8 + 9x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + 9x = 6 + 0 -8 + 9x = 6 Add '8' to each side of the equation. -8 + 8 + 9x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 9x = 6 + 8 9x = 6 + 8 Combine like terms: 6 + 8 = 14 9x = 14 Divide each side by '9'. x = 1.555555556 Simplifying x = 1.555555556
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