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Simplifying 4(3x + -9) = -2(4x + -12) Reorder the terms: 4(-9 + 3x) = -2(4x + -12) (-9 * 4 + 3x * 4) = -2(4x + -12) (-36 + 12x) = -2(4x + -12) Reorder the terms: -36 + 12x = -2(-12 + 4x) -36 + 12x = (-12 * -2 + 4x * -2) -36 + 12x = (24 + -8x) Solving -36 + 12x = 24 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -36 + 12x + 8x = 24 + -8x + 8x Combine like terms: 12x + 8x = 20x -36 + 20x = 24 + -8x + 8x Combine like terms: -8x + 8x = 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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