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Simplifying 2(x2 + 5) = x(2x + 5) Reorder the terms: 2(5 + x2) = x(2x + 5) (5 * 2 + x2 * 2) = x(2x + 5) (10 + 2x2) = x(2x + 5) Reorder the terms: 10 + 2x2 = x(5 + 2x) 10 + 2x2 = (5 * x + 2x * x) 10 + 2x2 = (5x + 2x2) Add '-2x2' to each side of the equation. 10 + 2x2 + -2x2 = 5x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 10 + 0 = 5x + 2x2 + -2x2 10 = 5x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 10 = 5x + 0 10 = 5x Solving 10 = 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. 10 + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 10 + -5x = 0 Add '-10' to each side of the equation. 10 + -10 + -5x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = 0 + -10 -5x = 0 + -10 Combine like terms: 0 + -10 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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