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Simplifying (x2 + 5x + -3) + -1(4x + 1) = x2 + -13 Reorder the terms: (-3 + 5x + x2) + -1(4x + 1) = x2 + -13 Remove parenthesis around (-3 + 5x + x2) -3 + 5x + x2 + -1(4x + 1) = x2 + -13 Reorder the terms: -3 + 5x + x2 + -1(1 + 4x) = x2 + -13 -3 + 5x + x2 + (1 * -1 + 4x * -1) = x2 + -13 -3 + 5x + x2 + (-1 + -4x) = x2 + -13 Reorder the terms: -3 + -1 + 5x + -4x + x2 = x2 + -13 Combine like terms: -3 + -1 = -4 -4 + 5x + -4x + x2 = x2 + -13 Combine like terms: 5x + -4x = 1x -4 + 1x + x2 = x2 + -13 Reorder the terms: -4 + 1x + x2 = -13 + x2 Add '-1x2' to each side of the equation. -4 + 1x + x2 + -1x2 = -13 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 + 1x + 0 = -13 + x2 + -1x2 -4 + 1x = -13 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -4 + 1x = -13 + 0 -4 + 1x = -13 Solving -4 + 1x = -13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 1x = -13 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -13 + 4 1x = -13 + 4 Combine like terms: -13 + 4 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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