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Simplifying 6(2 + -2x) = -2(3x + 4) (2 * 6 + -2x * 6) = -2(3x + 4) (12 + -12x) = -2(3x + 4) Reorder the terms: 12 + -12x = -2(4 + 3x) 12 + -12x = (4 * -2 + 3x * -2) 12 + -12x = (-8 + -6x) Solving 12 + -12x = -8 + -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. 12 + -12x + 6x = -8 + -6x + 6x Combine like terms: -12x + 6x = -6x 12 + -6x = -8 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + -6x = -8 + 0 12 + -6x = -8 Add '-12' to each side of the equation. 12 + -12 + -6x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = -8 + -12 -6x = -8 + -12 Combine like terms: -8 + -12 = -20 -6x = -20 Divide each side by '-6'. x = 3.333333333 Simplifying x = 3.333333333
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