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Simplifying x + (x + -1) + (x + -2) + (x + -3) * x = 10 Reorder the terms: x + (-1 + x) + (x + -2) + (x + -3) * x = 10 Remove parenthesis around (-1 + x) x + -1 + x + (x + -2) + (x + -3) * x = 10 Reorder the terms: x + -1 + x + (-2 + x) + (x + -3) * x = 10 Remove parenthesis around (-2 + x) x + -1 + x + -2 + x + (x + -3) * x = 10 Reorder the terms: x + -1 + x + -2 + x + (-3 + x) * x = 10 Reorder the terms for easier multiplication: x + -1 + x + -2 + x + x(-3 + x) = 10 x + -1 + x + -2 + x + (-3 * x + x * x) = 10 x + -1 + x + -2 + x + (-3x + x2) = 10 Reorder the terms: -1 + -2 + x + x + x + -3x + x2 = 10 Combine like terms: -1 + -2 = -3 -3 + x + x + x + -3x + x2 = 10 Combine like terms: x + x = 2x -3 + 2x + x + -3x + x2 = 10 Combine like terms: 2x + x = 3x -3 + 3x + -3x + x2 = 10 Combine like terms: 3x + -3x = 0 -3 + 0 + x2 = 10 -3 + x2 = 10 Solving -3 + x2 = 10 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 + 3 + x2 = 10 + 3 Combine like terms: -3 + 3 = 0 0 + x2 = 10 + 3 x2 = 10 + 3 Combine like terms: 10 + 3 = 13 x2 = 13 Simplifying x2 = 13 Take the square root of each side: x = {-3.605551275, 3.605551275}
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