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