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Simplifying 2(5x + 1) + 6(x + 2) = 0 Reorder the terms: 2(1 + 5x) + 6(x + 2) = 0 (1 * 2 + 5x * 2) + 6(x + 2) = 0 (2 + 10x) + 6(x + 2) = 0 Reorder the terms: 2 + 10x + 6(2 + x) = 0 2 + 10x + (2 * 6 + x * 6) = 0 2 + 10x + (12 + 6x) = 0 Reorder the terms: 2 + 12 + 10x + 6x = 0 Combine like terms: 2 + 12 = 14 14 + 10x + 6x = 0 Combine like terms: 10x + 6x = 16x 14 + 16x = 0 Solving 14 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 16x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 16x = 0 + -14 16x = 0 + -14 Combine like terms: 0 + -14 = -14 16x = -14 Divide each side by '16'. x = -0.875 Simplifying x = -0.875
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