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Simplifying 5(2x + 1) + -2 = 3x + 5 Reorder the terms: 5(1 + 2x) + -2 = 3x + 5 (1 * 5 + 2x * 5) + -2 = 3x + 5 (5 + 10x) + -2 = 3x + 5 Reorder the terms: 5 + -2 + 10x = 3x + 5 Combine like terms: 5 + -2 = 3 3 + 10x = 3x + 5 Reorder the terms: 3 + 10x = 5 + 3x Solving 3 + 10x = 5 + 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. 3 + 10x + -3x = 5 + 3x + -3x Combine like terms: 10x + -3x = 7x 3 + 7x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + 7x = 5 + 0 3 + 7x = 5 Add '-3' to each side of the equation. 3 + -3 + 7x = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 5 + -3 7x = 5 + -3 Combine like terms: 5 + -3 = 2 7x = 2 Divide each side by '7'. x = 0.2857142857 Simplifying x = 0.2857142857
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