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Simplifying 5(2x + 1) = 2(4x + 6) Reorder the terms: 5(1 + 2x) = 2(4x + 6) (1 * 5 + 2x * 5) = 2(4x + 6) (5 + 10x) = 2(4x + 6) Reorder the terms: 5 + 10x = 2(6 + 4x) 5 + 10x = (6 * 2 + 4x * 2) 5 + 10x = (12 + 8x) Solving 5 + 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. 5 + 10x + -8x = 12 + 8x + -8x Combine like terms: 10x + -8x = 2x 5 + 2x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + 2x = 12 + 0 5 + 2x = 12 Add '-5' to each side of the equation. 5 + -5 + 2x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 12 + -5 2x = 12 + -5 Combine like terms: 12 + -5 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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