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Simplifying -3(6 + -2x) + 4x = -1(2x + -6) (6 * -3 + -2x * -3) + 4x = -1(2x + -6) (-18 + 6x) + 4x = -1(2x + -6) Combine like terms: 6x + 4x = 10x -18 + 10x = -1(2x + -6) Reorder the terms: -18 + 10x = -1(-6 + 2x) -18 + 10x = (-6 * -1 + 2x * -1) -18 + 10x = (6 + -2x) Solving -18 + 10x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -18 + 10x + 2x = 6 + -2x + 2x Combine like terms: 10x + 2x = 12x -18 + 12x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -18 + 12x = 6 + 0 -18 + 12x = 6 Add '18' to each side of the equation. -18 + 18 + 12x = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 12x = 6 + 18 12x = 6 + 18 Combine like terms: 6 + 18 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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