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Simplifying 3(4x + -2) = 6(-2x + 3) Reorder the terms: 3(-2 + 4x) = 6(-2x + 3) (-2 * 3 + 4x * 3) = 6(-2x + 3) (-6 + 12x) = 6(-2x + 3) Reorder the terms: -6 + 12x = 6(3 + -2x) -6 + 12x = (3 * 6 + -2x * 6) -6 + 12x = (18 + -12x) Solving -6 + 12x = 18 + -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 = 18 + -12x + 12x Combine like terms: 12x + 12x = 24x -6 + 24x = 18 + -12x + 12x Combine like terms: -12x + 12x = 0 -6 + 24x = 18 + 0 -6 + 24x = 18 Add '6' to each side of the equation. -6 + 6 + 24x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 24x = 18 + 6 24x = 18 + 6 Combine like terms: 18 + 6 = 24 24x = 24 Divide each side by '24'. x = 1 Simplifying x = 1
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