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Simplifying x(x + 5) + -3 = x2 + -5(x + 4) Reorder the terms: x(5 + x) + -3 = x2 + -5(x + 4) (5 * x + x * x) + -3 = x2 + -5(x + 4) (5x + x2) + -3 = x2 + -5(x + 4) Reorder the terms: -3 + 5x + x2 = x2 + -5(x + 4) Reorder the terms: -3 + 5x + x2 = x2 + -5(4 + x) -3 + 5x + x2 = x2 + (4 * -5 + x * -5) -3 + 5x + x2 = x2 + (-20 + -5x) Reorder the terms: -3 + 5x + x2 = -20 + -5x + x2 Add '-1x2' to each side of the equation. -3 + 5x + x2 + -1x2 = -20 + -5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3 + 5x + 0 = -20 + -5x + x2 + -1x2 -3 + 5x = -20 + -5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3 + 5x = -20 + -5x + 0 -3 + 5x = -20 + -5x Solving -3 + 5x = -20 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -3 + 5x + 5x = -20 + -5x + 5x Combine like terms: 5x + 5x = 10x -3 + 10x = -20 + -5x + 5x Combine like terms: -5x + 5x = 0 -3 + 10x = -20 + 0 -3 + 10x = -20 Add '3' to each side of the equation. -3 + 3 + 10x = -20 + 3 Combine like terms: -3 + 3 = 0 0 + 10x = -20 + 3 10x = -20 + 3 Combine like terms: -20 + 3 = -17 10x = -17 Divide each side by '10'. x = -1.7 Simplifying x = -1.7
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