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Simplifying 4x(x + 5) = 4x(x + 2.5) Reorder the terms: 4x(5 + x) = 4x(x + 2.5) (5 * 4x + x * 4x) = 4x(x + 2.5) (20x + 4x2) = 4x(x + 2.5) Reorder the terms: 20x + 4x2 = 4x(2.5 + x) 20x + 4x2 = (2.5 * 4x + x * 4x) 20x + 4x2 = (10x + 4x2) Add '-4x2' to each side of the equation. 20x + 4x2 + -4x2 = 10x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 20x + 0 = 10x + 4x2 + -4x2 20x = 10x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 20x = 10x + 0 20x = 10x Solving 20x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 20x + -10x = 10x + -10x Combine like terms: 20x + -10x = 10x 10x = 10x + -10x Combine like terms: 10x + -10x = 0 10x = 0 Divide each side by '10'. x = 0 Simplifying x = 0
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