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Simplifying -2(x + 6) = -2x + -8 + 2(7x + 4) Reorder the terms: -2(6 + x) = -2x + -8 + 2(7x + 4) (6 * -2 + x * -2) = -2x + -8 + 2(7x + 4) (-12 + -2x) = -2x + -8 + 2(7x + 4) Reorder the terms: -12 + -2x = -2x + -8 + 2(4 + 7x) -12 + -2x = -2x + -8 + (4 * 2 + 7x * 2) -12 + -2x = -2x + -8 + (8 + 14x) Reorder the terms: -12 + -2x = -8 + 8 + -2x + 14x Combine like terms: -8 + 8 = 0 -12 + -2x = 0 + -2x + 14x -12 + -2x = -2x + 14x Combine like terms: -2x + 14x = 12x -12 + -2x = 12x Solving -12 + -2x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -12 + -2x + -12x = 12x + -12x Combine like terms: -2x + -12x = -14x -12 + -14x = 12x + -12x Combine like terms: 12x + -12x = 0 -12 + -14x = 0 Add '12' to each side of the equation. -12 + 12 + -14x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -14x = 0 + 12 -14x = 0 + 12 Combine like terms: 0 + 12 = 12 -14x = 12 Divide each side by '-14'. x = -0.8571428571 Simplifying x = -0.8571428571
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