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Simplifying 3(-2x + 4) = 6(x + -2) Reorder the terms: 3(4 + -2x) = 6(x + -2) (4 * 3 + -2x * 3) = 6(x + -2) (12 + -6x) = 6(x + -2) Reorder the terms: 12 + -6x = 6(-2 + x) 12 + -6x = (-2 * 6 + x * 6) 12 + -6x = (-12 + 6x) Solving 12 + -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. 12 + -6x + -6x = -12 + 6x + -6x Combine like terms: -6x + -6x = -12x 12 + -12x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -12x = -12 + 0 12 + -12x = -12 Add '-12' to each side of the equation. 12 + -12 + -12x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -12x = -12 + -12 -12x = -12 + -12 Combine like terms: -12 + -12 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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