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Simplifying 2(x + 3) + -2(5 + -6x) = 0 Reorder the terms: 2(3 + x) + -2(5 + -6x) = 0 (3 * 2 + x * 2) + -2(5 + -6x) = 0 (6 + 2x) + -2(5 + -6x) = 0 6 + 2x + (5 * -2 + -6x * -2) = 0 6 + 2x + (-10 + 12x) = 0 Reorder the terms: 6 + -10 + 2x + 12x = 0 Combine like terms: 6 + -10 = -4 -4 + 2x + 12x = 0 Combine like terms: 2x + 12x = 14x -4 + 14x = 0 Solving -4 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 14x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 14x = 0 + 4 14x = 0 + 4 Combine like terms: 0 + 4 = 4 14x = 4 Divide each side by '14'. x = 0.2857142857 Simplifying x = 0.2857142857
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