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Simplifying -6(1 + 2x) = 6(2x + 1) + 2x (1 * -6 + 2x * -6) = 6(2x + 1) + 2x (-6 + -12x) = 6(2x + 1) + 2x Reorder the terms: -6 + -12x = 6(1 + 2x) + 2x -6 + -12x = (1 * 6 + 2x * 6) + 2x -6 + -12x = (6 + 12x) + 2x Combine like terms: 12x + 2x = 14x -6 + -12x = 6 + 14x Solving -6 + -12x = 6 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -6 + -12x + -14x = 6 + 14x + -14x Combine like terms: -12x + -14x = -26x -6 + -26x = 6 + 14x + -14x Combine like terms: 14x + -14x = 0 -6 + -26x = 6 + 0 -6 + -26x = 6 Add '6' to each side of the equation. -6 + 6 + -26x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -26x = 6 + 6 -26x = 6 + 6 Combine like terms: 6 + 6 = 12 -26x = 12 Divide each side by '-26'. x = -0.4615384615 Simplifying x = -0.4615384615
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