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Simplifying -4(2x + 6) = 4(3x + -9) Reorder the terms: -4(6 + 2x) = 4(3x + -9) (6 * -4 + 2x * -4) = 4(3x + -9) (-24 + -8x) = 4(3x + -9) Reorder the terms: -24 + -8x = 4(-9 + 3x) -24 + -8x = (-9 * 4 + 3x * 4) -24 + -8x = (-36 + 12x) Solving -24 + -8x = -36 + 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. -24 + -8x + -12x = -36 + 12x + -12x Combine like terms: -8x + -12x = -20x -24 + -20x = -36 + 12x + -12x Combine like terms: 12x + -12x = 0 -24 + -20x = -36 + 0 -24 + -20x = -36 Add '24' to each side of the equation. -24 + 24 + -20x = -36 + 24 Combine like terms: -24 + 24 = 0 0 + -20x = -36 + 24 -20x = -36 + 24 Combine like terms: -36 + 24 = -12 -20x = -12 Divide each side by '-20'. x = 0.6 Simplifying x = 0.6
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