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Simplifying -3(12 + -6x) = -2(x + -12) (12 * -3 + -6x * -3) = -2(x + -12) (-36 + 18x) = -2(x + -12) Reorder the terms: -36 + 18x = -2(-12 + x) -36 + 18x = (-12 * -2 + x * -2) -36 + 18x = (24 + -2x) Solving -36 + 18x = 24 + -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. -36 + 18x + 2x = 24 + -2x + 2x Combine like terms: 18x + 2x = 20x -36 + 20x = 24 + -2x + 2x Combine like terms: -2x + 2x = 0 -36 + 20x = 24 + 0 -36 + 20x = 24 Add '36' to each side of the equation. -36 + 36 + 20x = 24 + 36 Combine like terms: -36 + 36 = 0 0 + 20x = 24 + 36 20x = 24 + 36 Combine like terms: 24 + 36 = 60 20x = 60 Divide each side by '20'. x = 3 Simplifying x = 3
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