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Simplifying 3(2x + 5) + 2(5x + 1) = 0 Reorder the terms: 3(5 + 2x) + 2(5x + 1) = 0 (5 * 3 + 2x * 3) + 2(5x + 1) = 0 (15 + 6x) + 2(5x + 1) = 0 Reorder the terms: 15 + 6x + 2(1 + 5x) = 0 15 + 6x + (1 * 2 + 5x * 2) = 0 15 + 6x + (2 + 10x) = 0 Reorder the terms: 15 + 2 + 6x + 10x = 0 Combine like terms: 15 + 2 = 17 17 + 6x + 10x = 0 Combine like terms: 6x + 10x = 16x 17 + 16x = 0 Solving 17 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 16x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 16x = 0 + -17 16x = 0 + -17 Combine like terms: 0 + -17 = -17 16x = -17 Divide each side by '16'. x = -1.0625 Simplifying x = -1.0625
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