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Simplifying 5(3x + -2) + 3(2x + 5) = 0 Reorder the terms: 5(-2 + 3x) + 3(2x + 5) = 0 (-2 * 5 + 3x * 5) + 3(2x + 5) = 0 (-10 + 15x) + 3(2x + 5) = 0 Reorder the terms: -10 + 15x + 3(5 + 2x) = 0 -10 + 15x + (5 * 3 + 2x * 3) = 0 -10 + 15x + (15 + 6x) = 0 Reorder the terms: -10 + 15 + 15x + 6x = 0 Combine like terms: -10 + 15 = 5 5 + 15x + 6x = 0 Combine like terms: 15x + 6x = 21x 5 + 21x = 0 Solving 5 + 21x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 21x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 21x = 0 + -5 21x = 0 + -5 Combine like terms: 0 + -5 = -5 21x = -5 Divide each side by '21'. x = -0.2380952381 Simplifying x = -0.2380952381
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