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Simplifying 10x + (x + 3)(x + -2) = (x + 3)(x + 3) Reorder the terms: 10x + (3 + x)(x + -2) = (x + 3)(x + 3) Reorder the terms: 10x + (3 + x)(-2 + x) = (x + 3)(x + 3) Multiply (3 + x) * (-2 + x) 10x + (3(-2 + x) + x(-2 + x)) = (x + 3)(x + 3) 10x + ((-2 * 3 + x * 3) + x(-2 + x)) = (x + 3)(x + 3) 10x + ((-6 + 3x) + x(-2 + x)) = (x + 3)(x + 3) 10x + (-6 + 3x + (-2 * x + x * x)) = (x + 3)(x + 3) 10x + (-6 + 3x + (-2x + x2)) = (x + 3)(x + 3) Combine like terms: 3x + -2x = 1x 10x + (-6 + 1x + x2) = (x + 3)(x + 3) Reorder the terms: -6 + 10x + 1x + x2 = (x + 3)(x + 3) Combine like terms: 10x + 1x = 11x -6 + 11x + x2 = (x + 3)(x + 3) Reorder the terms: -6 + 11x + x2 = (3 + x)(x + 3) Reorder the terms: -6 + 11x + x2 = (3 + x)(3 + x) Multiply (3 + x) * (3 + x) -6 + 11x + x2 = (3(3 + x) + x(3 + x)) -6 + 11x + x2 = ((3 * 3 + x * 3) + x(3 + x)) -6 + 11x + x2 = ((9 + 3x) + x(3 + x)) -6 + 11x + x2 = (9 + 3x + (3 * x + x * x)) -6 + 11x + x2 = (9 + 3x + (3x + x2)) Combine like terms: 3x + 3x = 6x -6 + 11x + x2 = (9 + 6x + x2) Add '-1x2' to each side of the equation. -6 + 11x + x2 + -1x2 = 9 + 6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + 11x + 0 = 9 + 6x + x2 + -1x2 -6 + 11x = 9 + 6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + 11x = 9 + 6x + 0 -6 + 11x = 9 + 6x Solving -6 + 11x = 9 + 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. -6 + 11x + -6x = 9 + 6x + -6x Combine like terms: 11x + -6x = 5x -6 + 5x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 5x = 9 + 0 -6 + 5x = 9 Add '6' to each side of the equation. -6 + 6 + 5x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 9 + 6 5x = 9 + 6 Combine like terms: 9 + 6 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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