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Simplifying -3(4x + 6) + -2(3 + -11x) = 3(9 + 3) Reorder the terms: -3(6 + 4x) + -2(3 + -11x) = 3(9 + 3) (6 * -3 + 4x * -3) + -2(3 + -11x) = 3(9 + 3) (-18 + -12x) + -2(3 + -11x) = 3(9 + 3) -18 + -12x + (3 * -2 + -11x * -2) = 3(9 + 3) -18 + -12x + (-6 + 22x) = 3(9 + 3) Reorder the terms: -18 + -6 + -12x + 22x = 3(9 + 3) Combine like terms: -18 + -6 = -24 -24 + -12x + 22x = 3(9 + 3) Combine like terms: -12x + 22x = 10x -24 + 10x = 3(9 + 3) Combine like terms: 9 + 3 = 12 -24 + 10x = 3(12) Multiply 3 * 12 -24 + 10x = 36 Solving -24 + 10x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 10x = 36 + 24 Combine like terms: -24 + 24 = 0 0 + 10x = 36 + 24 10x = 36 + 24 Combine like terms: 36 + 24 = 60 10x = 60 Divide each side by '10'. x = 6 Simplifying x = 6
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