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Simplifying 2 + -3(2x + -4) = 6(x + -2) Reorder the terms: 2 + -3(-4 + 2x) = 6(x + -2) 2 + (-4 * -3 + 2x * -3) = 6(x + -2) 2 + (12 + -6x) = 6(x + -2) Combine like terms: 2 + 12 = 14 14 + -6x = 6(x + -2) Reorder the terms: 14 + -6x = 6(-2 + x) 14 + -6x = (-2 * 6 + x * 6) 14 + -6x = (-12 + 6x) Solving 14 + -6x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 14 + -6x + -6x = -12 + 6x + -6x Combine like terms: -6x + -6x = -12x 14 + -12x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + -12x = -12 + 0 14 + -12x = -12 Add '-14' to each side of the equation. 14 + -14 + -12x = -12 + -14 Combine like terms: 14 + -14 = 0 0 + -12x = -12 + -14 -12x = -12 + -14 Combine like terms: -12 + -14 = -26 -12x = -26 Divide each side by '-12'. x = 2.166666667 Simplifying x = 2.166666667
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