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Simplifying 2(3x + 4) + 3(5x + 2) = 0 Reorder the terms: 2(4 + 3x) + 3(5x + 2) = 0 (4 * 2 + 3x * 2) + 3(5x + 2) = 0 (8 + 6x) + 3(5x + 2) = 0 Reorder the terms: 8 + 6x + 3(2 + 5x) = 0 8 + 6x + (2 * 3 + 5x * 3) = 0 8 + 6x + (6 + 15x) = 0 Reorder the terms: 8 + 6 + 6x + 15x = 0 Combine like terms: 8 + 6 = 14 14 + 6x + 15x = 0 Combine like terms: 6x + 15x = 21x 14 + 21x = 0 Solving 14 + 21x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 21x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 21x = 0 + -14 21x = 0 + -14 Combine like terms: 0 + -14 = -14 21x = -14 Divide each side by '21'. x = -0.6666666667 Simplifying x = -0.6666666667
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