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Simplifying 2(5x + 3) = 3x + 8 Reorder the terms: 2(3 + 5x) = 3x + 8 (3 * 2 + 5x * 2) = 3x + 8 (6 + 10x) = 3x + 8 Reorder the terms: 6 + 10x = 8 + 3x Solving 6 + 10x = 8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 10x + -3x = 8 + 3x + -3x Combine like terms: 10x + -3x = 7x 6 + 7x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 7x = 8 + 0 6 + 7x = 8 Add '-6' to each side of the equation. 6 + -6 + 7x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 8 + -6 7x = 8 + -6 Combine like terms: 8 + -6 = 2 7x = 2 Divide each side by '7'. x = 0.2857142857 Simplifying x = 0.2857142857
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