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Simplifying -3(4x + -2) = 2(6x + -1) Reorder the terms: -3(-2 + 4x) = 2(6x + -1) (-2 * -3 + 4x * -3) = 2(6x + -1) (6 + -12x) = 2(6x + -1) Reorder the terms: 6 + -12x = 2(-1 + 6x) 6 + -12x = (-1 * 2 + 6x * 2) 6 + -12x = (-2 + 12x) Solving 6 + -12x = -2 + 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. 6 + -12x + -12x = -2 + 12x + -12x Combine like terms: -12x + -12x = -24x 6 + -24x = -2 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -24x = -2 + 0 6 + -24x = -2 Add '-6' to each side of the equation. 6 + -6 + -24x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -24x = -2 + -6 -24x = -2 + -6 Combine like terms: -2 + -6 = -8 -24x = -8 Divide each side by '-24'. x = 0.3333333333 Simplifying x = 0.3333333333
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