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Simplifying -3(4x + 2) = 2(6x + 3) Reorder the terms: -3(2 + 4x) = 2(6x + 3) (2 * -3 + 4x * -3) = 2(6x + 3) (-6 + -12x) = 2(6x + 3) Reorder the terms: -6 + -12x = 2(3 + 6x) -6 + -12x = (3 * 2 + 6x * 2) -6 + -12x = (6 + 12x) Solving -6 + -12x = 6 + 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 = 6 + 12x + -12x Combine like terms: -12x + -12x = -24x -6 + -24x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -24x = 6 + 0 -6 + -24x = 6 Add '6' to each side of the equation. -6 + 6 + -24x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -24x = 6 + 6 -24x = 6 + 6 Combine like terms: 6 + 6 = 12 -24x = 12 Divide each side by '-24'. x = -0.5 Simplifying x = -0.5
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