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Simplifying 2(5x + 1) + 3x + 2 = 7 Reorder the terms: 2(1 + 5x) + 3x + 2 = 7 (1 * 2 + 5x * 2) + 3x + 2 = 7 (2 + 10x) + 3x + 2 = 7 Reorder the terms: 2 + 2 + 10x + 3x = 7 Combine like terms: 2 + 2 = 4 4 + 10x + 3x = 7 Combine like terms: 10x + 3x = 13x 4 + 13x = 7 Solving 4 + 13x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 13x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 13x = 7 + -4 13x = 7 + -4 Combine like terms: 7 + -4 = 3 13x = 3 Divide each side by '13'. x = 0.2307692308 Simplifying x = 0.2307692308
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