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Simplifying 5 + 2x + -3x2 = 3(3 + x)(2 + -1x) Multiply (3 + x) * (2 + -1x) 5 + 2x + -3x2 = 3(3(2 + -1x) + x(2 + -1x)) 5 + 2x + -3x2 = 3((2 * 3 + -1x * 3) + x(2 + -1x)) 5 + 2x + -3x2 = 3((6 + -3x) + x(2 + -1x)) 5 + 2x + -3x2 = 3(6 + -3x + (2 * x + -1x * x)) 5 + 2x + -3x2 = 3(6 + -3x + (2x + -1x2)) Combine like terms: -3x + 2x = -1x 5 + 2x + -3x2 = 3(6 + -1x + -1x2) 5 + 2x + -3x2 = (6 * 3 + -1x * 3 + -1x2 * 3) 5 + 2x + -3x2 = (18 + -3x + -3x2) Add '3x2' to each side of the equation. 5 + 2x + -3x2 + 3x2 = 18 + -3x + -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 5 + 2x + 0 = 18 + -3x + -3x2 + 3x2 5 + 2x = 18 + -3x + -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 5 + 2x = 18 + -3x + 0 5 + 2x = 18 + -3x Solving 5 + 2x = 18 + -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. 5 + 2x + 3x = 18 + -3x + 3x Combine like terms: 2x + 3x = 5x 5 + 5x = 18 + -3x + 3x Combine like terms: -3x + 3x = 0 5 + 5x = 18 + 0 5 + 5x = 18 Add '-5' to each side of the equation. 5 + -5 + 5x = 18 + -5 Combine like terms: 5 + -5 = 0 0 + 5x = 18 + -5 5x = 18 + -5 Combine like terms: 18 + -5 = 13 5x = 13 Divide each side by '5'. x = 2.6 Simplifying x = 2.6
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