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Simplifying 4x(2x + 5) = 8(x + 1)(x + 1) Reorder the terms: 4x(5 + 2x) = 8(x + 1)(x + 1) (5 * 4x + 2x * 4x) = 8(x + 1)(x + 1) (20x + 8x2) = 8(x + 1)(x + 1) Reorder the terms: 20x + 8x2 = 8(1 + x)(x + 1) Reorder the terms: 20x + 8x2 = 8(1 + x)(1 + x) Multiply (1 + x) * (1 + x) 20x + 8x2 = 8(1(1 + x) + x(1 + x)) 20x + 8x2 = 8((1 * 1 + x * 1) + x(1 + x)) 20x + 8x2 = 8((1 + 1x) + x(1 + x)) 20x + 8x2 = 8(1 + 1x + (1 * x + x * x)) 20x + 8x2 = 8(1 + 1x + (1x + x2)) Combine like terms: 1x + 1x = 2x 20x + 8x2 = 8(1 + 2x + x2) 20x + 8x2 = (1 * 8 + 2x * 8 + x2 * 8) 20x + 8x2 = (8 + 16x + 8x2) Add '-8x2' to each side of the equation. 20x + 8x2 + -8x2 = 8 + 16x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 20x + 0 = 8 + 16x + 8x2 + -8x2 20x = 8 + 16x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 20x = 8 + 16x + 0 20x = 8 + 16x Solving 20x = 8 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 20x + -16x = 8 + 16x + -16x Combine like terms: 20x + -16x = 4x 4x = 8 + 16x + -16x Combine like terms: 16x + -16x = 0 4x = 8 + 0 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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