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Simplifying -4(5x + -9) = 3(4 + -4x) + 6 Reorder the terms: -4(-9 + 5x) = 3(4 + -4x) + 6 (-9 * -4 + 5x * -4) = 3(4 + -4x) + 6 (36 + -20x) = 3(4 + -4x) + 6 36 + -20x = (4 * 3 + -4x * 3) + 6 36 + -20x = (12 + -12x) + 6 Reorder the terms: 36 + -20x = 12 + 6 + -12x Combine like terms: 12 + 6 = 18 36 + -20x = 18 + -12x Solving 36 + -20x = 18 + -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 = 18 + -12x + 12x Combine like terms: -20x + 12x = -8x 36 + -8x = 18 + -12x + 12x Combine like terms: -12x + 12x = 0 36 + -8x = 18 + 0 36 + -8x = 18 Add '-36' to each side of the equation. 36 + -36 + -8x = 18 + -36 Combine like terms: 36 + -36 = 0 0 + -8x = 18 + -36 -8x = 18 + -36 Combine like terms: 18 + -36 = -18 -8x = -18 Divide each side by '-8'. x = 2.25 Simplifying x = 2.25
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