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Simplifying 2(4x + 2) + 6(x + -1) = 0 Reorder the terms: 2(2 + 4x) + 6(x + -1) = 0 (2 * 2 + 4x * 2) + 6(x + -1) = 0 (4 + 8x) + 6(x + -1) = 0 Reorder the terms: 4 + 8x + 6(-1 + x) = 0 4 + 8x + (-1 * 6 + x * 6) = 0 4 + 8x + (-6 + 6x) = 0 Reorder the terms: 4 + -6 + 8x + 6x = 0 Combine like terms: 4 + -6 = -2 -2 + 8x + 6x = 0 Combine like terms: 8x + 6x = 14x -2 + 14x = 0 Solving -2 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 14x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 14x = 0 + 2 14x = 0 + 2 Combine like terms: 0 + 2 = 2 14x = 2 Divide each side by '14'. x = 0.1428571429 Simplifying x = 0.1428571429
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