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Simplifying x(x + -1) + 5 = x2 + x + -3 Reorder the terms: x(-1 + x) + 5 = x2 + x + -3 (-1 * x + x * x) + 5 = x2 + x + -3 (-1x + x2) + 5 = x2 + x + -3 Reorder the terms: 5 + -1x + x2 = x2 + x + -3 Reorder the terms: 5 + -1x + x2 = -3 + x + x2 Add '-1x2' to each side of the equation. 5 + -1x + x2 + -1x2 = -3 + x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5 + -1x + 0 = -3 + x + x2 + -1x2 5 + -1x = -3 + x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5 + -1x = -3 + x + 0 5 + -1x = -3 + x Solving 5 + -1x = -3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + -1x + -1x = -3 + x + -1x Combine like terms: -1x + -1x = -2x 5 + -2x = -3 + x + -1x Combine like terms: x + -1x = 0 5 + -2x = -3 + 0 5 + -2x = -3 Add '-5' to each side of the equation. 5 + -5 + -2x = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = -3 + -5 -2x = -3 + -5 Combine like terms: -3 + -5 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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