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Simplifying 3(2x + -5) + 2(5x + 8) = 0 Reorder the terms: 3(-5 + 2x) + 2(5x + 8) = 0 (-5 * 3 + 2x * 3) + 2(5x + 8) = 0 (-15 + 6x) + 2(5x + 8) = 0 Reorder the terms: -15 + 6x + 2(8 + 5x) = 0 -15 + 6x + (8 * 2 + 5x * 2) = 0 -15 + 6x + (16 + 10x) = 0 Reorder the terms: -15 + 16 + 6x + 10x = 0 Combine like terms: -15 + 16 = 1 1 + 6x + 10x = 0 Combine like terms: 6x + 10x = 16x 1 + 16x = 0 Solving 1 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 16x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 16x = 0 + -1 16x = 0 + -1 Combine like terms: 0 + -1 = -1 16x = -1 Divide each side by '16'. x = -0.0625 Simplifying x = -0.0625
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