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Simplifying 3(2x + -4) + 2(5x + 1) = 0 Reorder the terms: 3(-4 + 2x) + 2(5x + 1) = 0 (-4 * 3 + 2x * 3) + 2(5x + 1) = 0 (-12 + 6x) + 2(5x + 1) = 0 Reorder the terms: -12 + 6x + 2(1 + 5x) = 0 -12 + 6x + (1 * 2 + 5x * 2) = 0 -12 + 6x + (2 + 10x) = 0 Reorder the terms: -12 + 2 + 6x + 10x = 0 Combine like terms: -12 + 2 = -10 -10 + 6x + 10x = 0 Combine like terms: 6x + 10x = 16x -10 + 16x = 0 Solving -10 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 16x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 16x = 0 + 10 16x = 0 + 10 Combine like terms: 0 + 10 = 10 16x = 10 Divide each side by '16'. x = 0.625 Simplifying x = 0.625
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