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Simplifying -4x + -1(6 + -2x) = -6(2x + -4) -4x + (6 * -1 + -2x * -1) = -6(2x + -4) -4x + (-6 + 2x) = -6(2x + -4) Reorder the terms: -6 + -4x + 2x = -6(2x + -4) Combine like terms: -4x + 2x = -2x -6 + -2x = -6(2x + -4) Reorder the terms: -6 + -2x = -6(-4 + 2x) -6 + -2x = (-4 * -6 + 2x * -6) -6 + -2x = (24 + -12x) Solving -6 + -2x = 24 + -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 + -2x + 12x = 24 + -12x + 12x Combine like terms: -2x + 12x = 10x -6 + 10x = 24 + -12x + 12x Combine like terms: -12x + 12x = 0 -6 + 10x = 24 + 0 -6 + 10x = 24 Add '6' to each side of the equation. -6 + 6 + 10x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 10x = 24 + 6 10x = 24 + 6 Combine like terms: 24 + 6 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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