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Simplifying 4(5x + -9) = -12(x + 7) Reorder the terms: 4(-9 + 5x) = -12(x + 7) (-9 * 4 + 5x * 4) = -12(x + 7) (-36 + 20x) = -12(x + 7) Reorder the terms: -36 + 20x = -12(7 + x) -36 + 20x = (7 * -12 + x * -12) -36 + 20x = (-84 + -12x) Solving -36 + 20x = -84 + -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. -36 + 20x + 12x = -84 + -12x + 12x Combine like terms: 20x + 12x = 32x -36 + 32x = -84 + -12x + 12x Combine like terms: -12x + 12x = 0 -36 + 32x = -84 + 0 -36 + 32x = -84 Add '36' to each side of the equation. -36 + 36 + 32x = -84 + 36 Combine like terms: -36 + 36 = 0 0 + 32x = -84 + 36 32x = -84 + 36 Combine like terms: -84 + 36 = -48 32x = -48 Divide each side by '32'. x = -1.5 Simplifying x = -1.5
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