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Simplifying 3(2x + 1) + 2(5x + 2) = 0 Reorder the terms: 3(1 + 2x) + 2(5x + 2) = 0 (1 * 3 + 2x * 3) + 2(5x + 2) = 0 (3 + 6x) + 2(5x + 2) = 0 Reorder the terms: 3 + 6x + 2(2 + 5x) = 0 3 + 6x + (2 * 2 + 5x * 2) = 0 3 + 6x + (4 + 10x) = 0 Reorder the terms: 3 + 4 + 6x + 10x = 0 Combine like terms: 3 + 4 = 7 7 + 6x + 10x = 0 Combine like terms: 6x + 10x = 16x 7 + 16x = 0 Solving 7 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 16x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 16x = 0 + -7 16x = 0 + -7 Combine like terms: 0 + -7 = -7 16x = -7 Divide each side by '16'. x = -0.4375 Simplifying x = -0.4375
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