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Simplifying 4(2x + 1) = 2(3x + 5) Reorder the terms: 4(1 + 2x) = 2(3x + 5) (1 * 4 + 2x * 4) = 2(3x + 5) (4 + 8x) = 2(3x + 5) Reorder the terms: 4 + 8x = 2(5 + 3x) 4 + 8x = (5 * 2 + 3x * 2) 4 + 8x = (10 + 6x) Solving 4 + 8x = 10 + 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. 4 + 8x + -6x = 10 + 6x + -6x Combine like terms: 8x + -6x = 2x 4 + 2x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + 2x = 10 + 0 4 + 2x = 10 Add '-4' to each side of the equation. 4 + -4 + 2x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 10 + -4 2x = 10 + -4 Combine like terms: 10 + -4 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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