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Simplifying 3(5x + 2) + 2(x + 6) = 0 Reorder the terms: 3(2 + 5x) + 2(x + 6) = 0 (2 * 3 + 5x * 3) + 2(x + 6) = 0 (6 + 15x) + 2(x + 6) = 0 Reorder the terms: 6 + 15x + 2(6 + x) = 0 6 + 15x + (6 * 2 + x * 2) = 0 6 + 15x + (12 + 2x) = 0 Reorder the terms: 6 + 12 + 15x + 2x = 0 Combine like terms: 6 + 12 = 18 18 + 15x + 2x = 0 Combine like terms: 15x + 2x = 17x 18 + 17x = 0 Solving 18 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 17x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 17x = 0 + -18 17x = 0 + -18 Combine like terms: 0 + -18 = -18 17x = -18 Divide each side by '17'. x = -1.058823529 Simplifying x = -1.058823529
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