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Simplifying 2(3x + 1) + 2(5x + -6) = 0 Reorder the terms: 2(1 + 3x) + 2(5x + -6) = 0 (1 * 2 + 3x * 2) + 2(5x + -6) = 0 (2 + 6x) + 2(5x + -6) = 0 Reorder the terms: 2 + 6x + 2(-6 + 5x) = 0 2 + 6x + (-6 * 2 + 5x * 2) = 0 2 + 6x + (-12 + 10x) = 0 Reorder the terms: 2 + -12 + 6x + 10x = 0 Combine like terms: 2 + -12 = -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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