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Simplifying (x2 + 3x + -1) + -1(2x + 1) = x2 + -5 Reorder the terms: (-1 + 3x + x2) + -1(2x + 1) = x2 + -5 Remove parenthesis around (-1 + 3x + x2) -1 + 3x + x2 + -1(2x + 1) = x2 + -5 Reorder the terms: -1 + 3x + x2 + -1(1 + 2x) = x2 + -5 -1 + 3x + x2 + (1 * -1 + 2x * -1) = x2 + -5 -1 + 3x + x2 + (-1 + -2x) = x2 + -5 Reorder the terms: -1 + -1 + 3x + -2x + x2 = x2 + -5 Combine like terms: -1 + -1 = -2 -2 + 3x + -2x + x2 = x2 + -5 Combine like terms: 3x + -2x = 1x -2 + 1x + x2 = x2 + -5 Reorder the terms: -2 + 1x + x2 = -5 + x2 Add '-1x2' to each side of the equation. -2 + 1x + x2 + -1x2 = -5 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2 + 1x + 0 = -5 + x2 + -1x2 -2 + 1x = -5 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2 + 1x = -5 + 0 -2 + 1x = -5 Solving -2 + 1x = -5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 1x = -5 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = -5 + 2 1x = -5 + 2 Combine like terms: -5 + 2 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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