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Simplifying 5(5x + 1) = 2(4x + 4) Reorder the terms: 5(1 + 5x) = 2(4x + 4) (1 * 5 + 5x * 5) = 2(4x + 4) (5 + 25x) = 2(4x + 4) Reorder the terms: 5 + 25x = 2(4 + 4x) 5 + 25x = (4 * 2 + 4x * 2) 5 + 25x = (8 + 8x) Solving 5 + 25x = 8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 5 + 25x + -8x = 8 + 8x + -8x Combine like terms: 25x + -8x = 17x 5 + 17x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + 17x = 8 + 0 5 + 17x = 8 Add '-5' to each side of the equation. 5 + -5 + 17x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 17x = 8 + -5 17x = 8 + -5 Combine like terms: 8 + -5 = 3 17x = 3 Divide each side by '17'. x = 0.1764705882 Simplifying x = 0.1764705882
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