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Simplifying 5(4x + 1) + 2x = 2(10x + 3) Reorder the terms: 5(1 + 4x) + 2x = 2(10x + 3) (1 * 5 + 4x * 5) + 2x = 2(10x + 3) (5 + 20x) + 2x = 2(10x + 3) Combine like terms: 20x + 2x = 22x 5 + 22x = 2(10x + 3) Reorder the terms: 5 + 22x = 2(3 + 10x) 5 + 22x = (3 * 2 + 10x * 2) 5 + 22x = (6 + 20x) Solving 5 + 22x = 6 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 5 + 22x + -20x = 6 + 20x + -20x Combine like terms: 22x + -20x = 2x 5 + 2x = 6 + 20x + -20x Combine like terms: 20x + -20x = 0 5 + 2x = 6 + 0 5 + 2x = 6 Add '-5' to each side of the equation. 5 + -5 + 2x = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 6 + -5 2x = 6 + -5 Combine like terms: 6 + -5 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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