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Simplifying x(x + -4) + 9 = x(x + 5) Reorder the terms: x(-4 + x) + 9 = x(x + 5) (-4 * x + x * x) + 9 = x(x + 5) (-4x + x2) + 9 = x(x + 5) Reorder the terms: 9 + -4x + x2 = x(x + 5) Reorder the terms: 9 + -4x + x2 = x(5 + x) 9 + -4x + x2 = (5 * x + x * x) 9 + -4x + x2 = (5x + x2) Add '-1x2' to each side of the equation. 9 + -4x + x2 + -1x2 = 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9 + -4x + 0 = 5x + x2 + -1x2 9 + -4x = 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9 + -4x = 5x + 0 9 + -4x = 5x Solving 9 + -4x = 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. 9 + -4x + -5x = 5x + -5x Combine like terms: -4x + -5x = -9x 9 + -9x = 5x + -5x Combine like terms: 5x + -5x = 0 9 + -9x = 0 Add '-9' to each side of the equation. 9 + -9 + -9x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -9x = 0 + -9 -9x = 0 + -9 Combine like terms: 0 + -9 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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