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Simplifying 3x2 + 13x + -17 = 3x(2 + x) + -3 Reorder the terms: -17 + 13x + 3x2 = 3x(2 + x) + -3 -17 + 13x + 3x2 = (2 * 3x + x * 3x) + -3 -17 + 13x + 3x2 = (6x + 3x2) + -3 Reorder the terms: -17 + 13x + 3x2 = -3 + 6x + 3x2 Add '-3x2' to each side of the equation. -17 + 13x + 3x2 + -3x2 = -3 + 6x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -17 + 13x + 0 = -3 + 6x + 3x2 + -3x2 -17 + 13x = -3 + 6x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -17 + 13x = -3 + 6x + 0 -17 + 13x = -3 + 6x Solving -17 + 13x = -3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -17 + 13x + -6x = -3 + 6x + -6x Combine like terms: 13x + -6x = 7x -17 + 7x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 -17 + 7x = -3 + 0 -17 + 7x = -3 Add '17' to each side of the equation. -17 + 17 + 7x = -3 + 17 Combine like terms: -17 + 17 = 0 0 + 7x = -3 + 17 7x = -3 + 17 Combine like terms: -3 + 17 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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