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Simplifying (X + -3) + x(x + -3) + x = 38 Reorder the terms: (-3 + X) + x(x + -3) + x = 38 Remove parenthesis around (-3 + X) -3 + X + x(x + -3) + x = 38 Reorder the terms: -3 + X + x(-3 + x) + x = 38 -3 + X + (-3 * x + x * x) + x = 38 -3 + X + (-3x + x2) + x = 38 Reorder the terms: -3 + X + -3x + x + x2 = 38 Combine like terms: -3x + x = -2x -3 + X + -2x + x2 = 38 Solving -3 + X + -2x + x2 = 38 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '3' to each side of the equation. -3 + X + -2x + 3 + x2 = 38 + 3 Reorder the terms: -3 + 3 + X + -2x + x2 = 38 + 3 Combine like terms: -3 + 3 = 0 0 + X + -2x + x2 = 38 + 3 X + -2x + x2 = 38 + 3 Combine like terms: 38 + 3 = 41 X + -2x + x2 = 41 Add '2x' to each side of the equation. X + -2x + 2x + x2 = 41 + 2x Combine like terms: -2x + 2x = 0 X + 0 + x2 = 41 + 2x X + x2 = 41 + 2x Add '-1x2' to each side of the equation. X + x2 + -1x2 = 41 + 2x + -1x2 Combine like terms: x2 + -1x2 = 0 X + 0 = 41 + 2x + -1x2 X = 41 + 2x + -1x2 Simplifying X = 41 + 2x + -1x2
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