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Simplifying 5(4x + 1) = 2(5x + 3) Reorder the terms: 5(1 + 4x) = 2(5x + 3) (1 * 5 + 4x * 5) = 2(5x + 3) (5 + 20x) = 2(5x + 3) Reorder the terms: 5 + 20x = 2(3 + 5x) 5 + 20x = (3 * 2 + 5x * 2) 5 + 20x = (6 + 10x) Solving 5 + 20x = 6 + 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. 5 + 20x + -10x = 6 + 10x + -10x Combine like terms: 20x + -10x = 10x 5 + 10x = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 5 + 10x = 6 + 0 5 + 10x = 6 Add '-5' to each side of the equation. 5 + -5 + 10x = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 10x = 6 + -5 10x = 6 + -5 Combine like terms: 6 + -5 = 1 10x = 1 Divide each side by '10'. x = 0.1 Simplifying x = 0.1
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