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Simplifying 4(5x + 9) = -2(6x + -6) Reorder the terms: 4(9 + 5x) = -2(6x + -6) (9 * 4 + 5x * 4) = -2(6x + -6) (36 + 20x) = -2(6x + -6) Reorder the terms: 36 + 20x = -2(-6 + 6x) 36 + 20x = (-6 * -2 + 6x * -2) 36 + 20x = (12 + -12x) Solving 36 + 20x = 12 + -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 = 12 + -12x + 12x Combine like terms: 20x + 12x = 32x 36 + 32x = 12 + -12x + 12x Combine like terms: -12x + 12x = 0 36 + 32x = 12 + 0 36 + 32x = 12 Add '-36' to each side of the equation. 36 + -36 + 32x = 12 + -36 Combine like terms: 36 + -36 = 0 0 + 32x = 12 + -36 32x = 12 + -36 Combine like terms: 12 + -36 = -24 32x = -24 Divide each side by '32'. x = -0.75 Simplifying x = -0.75
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