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Simplifying 2(5x + -3) + 3(2x + 5) = 0 Reorder the terms: 2(-3 + 5x) + 3(2x + 5) = 0 (-3 * 2 + 5x * 2) + 3(2x + 5) = 0 (-6 + 10x) + 3(2x + 5) = 0 Reorder the terms: -6 + 10x + 3(5 + 2x) = 0 -6 + 10x + (5 * 3 + 2x * 3) = 0 -6 + 10x + (15 + 6x) = 0 Reorder the terms: -6 + 15 + 10x + 6x = 0 Combine like terms: -6 + 15 = 9 9 + 10x + 6x = 0 Combine like terms: 10x + 6x = 16x 9 + 16x = 0 Solving 9 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 16x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 16x = 0 + -9 16x = 0 + -9 Combine like terms: 0 + -9 = -9 16x = -9 Divide each side by '16'. x = -0.5625 Simplifying x = -0.5625
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