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Simplifying 2(5x + 1) = 4(2x + 3) Reorder the terms: 2(1 + 5x) = 4(2x + 3) (1 * 2 + 5x * 2) = 4(2x + 3) (2 + 10x) = 4(2x + 3) Reorder the terms: 2 + 10x = 4(3 + 2x) 2 + 10x = (3 * 4 + 2x * 4) 2 + 10x = (12 + 8x) Solving 2 + 10x = 12 + 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. 2 + 10x + -8x = 12 + 8x + -8x Combine like terms: 10x + -8x = 2x 2 + 2x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + 2x = 12 + 0 2 + 2x = 12 Add '-2' to each side of the equation. 2 + -2 + 2x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 12 + -2 2x = 12 + -2 Combine like terms: 12 + -2 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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