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Simplifying x(x + 5) + -10 = x2 + -2x + 4 Reorder the terms: x(5 + x) + -10 = x2 + -2x + 4 (5 * x + x * x) + -10 = x2 + -2x + 4 (5x + x2) + -10 = x2 + -2x + 4 Reorder the terms: -10 + 5x + x2 = x2 + -2x + 4 Reorder the terms: -10 + 5x + x2 = 4 + -2x + x2 Add '-1x2' to each side of the equation. -10 + 5x + x2 + -1x2 = 4 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -10 + 5x + 0 = 4 + -2x + x2 + -1x2 -10 + 5x = 4 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -10 + 5x = 4 + -2x + 0 -10 + 5x = 4 + -2x Solving -10 + 5x = 4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -10 + 5x + 2x = 4 + -2x + 2x Combine like terms: 5x + 2x = 7x -10 + 7x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 7x = 4 + 0 -10 + 7x = 4 Add '10' to each side of the equation. -10 + 10 + 7x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = 4 + 10 7x = 4 + 10 Combine like terms: 4 + 10 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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