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Simplifying x2 + 5x + -17 = x2 + 3x + 3 Reorder the terms: -17 + 5x + x2 = x2 + 3x + 3 Reorder the terms: -17 + 5x + x2 = 3 + 3x + x2 Add '-1x2' to each side of the equation. -17 + 5x + x2 + -1x2 = 3 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -17 + 5x + 0 = 3 + 3x + x2 + -1x2 -17 + 5x = 3 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -17 + 5x = 3 + 3x + 0 -17 + 5x = 3 + 3x Solving -17 + 5x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -17 + 5x + -3x = 3 + 3x + -3x Combine like terms: 5x + -3x = 2x -17 + 2x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 + 2x = 3 + 0 -17 + 2x = 3 Add '17' to each side of the equation. -17 + 17 + 2x = 3 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = 3 + 17 2x = 3 + 17 Combine like terms: 3 + 17 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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