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Simplifying 3(4x + -2) = -3(-6x + -2) Reorder the terms: 3(-2 + 4x) = -3(-6x + -2) (-2 * 3 + 4x * 3) = -3(-6x + -2) (-6 + 12x) = -3(-6x + -2) Reorder the terms: -6 + 12x = -3(-2 + -6x) -6 + 12x = (-2 * -3 + -6x * -3) -6 + 12x = (6 + 18x) Solving -6 + 12x = 6 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -6 + 12x + -18x = 6 + 18x + -18x Combine like terms: 12x + -18x = -6x -6 + -6x = 6 + 18x + -18x Combine like terms: 18x + -18x = 0 -6 + -6x = 6 + 0 -6 + -6x = 6 Add '6' to each side of the equation. -6 + 6 + -6x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = 6 + 6 -6x = 6 + 6 Combine like terms: 6 + 6 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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