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Simplifying 5(5x + 2) = 2(3x + 5) Reorder the terms: 5(2 + 5x) = 2(3x + 5) (2 * 5 + 5x * 5) = 2(3x + 5) (10 + 25x) = 2(3x + 5) Reorder the terms: 10 + 25x = 2(5 + 3x) 10 + 25x = (5 * 2 + 3x * 2) 10 + 25x = (10 + 6x) Add '-10' to each side of the equation. 10 + -10 + 25x = 10 + -10 + 6x Combine like terms: 10 + -10 = 0 0 + 25x = 10 + -10 + 6x 25x = 10 + -10 + 6x Combine like terms: 10 + -10 = 0 25x = 0 + 6x 25x = 6x Solving 25x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 25x + -6x = 6x + -6x Combine like terms: 25x + -6x = 19x 19x = 6x + -6x Combine like terms: 6x + -6x = 0 19x = 0 Divide each side by '19'. x = 0 Simplifying x = 0
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