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Simplifying -4(4x + -9) = 5(12 + -4x) Reorder the terms: -4(-9 + 4x) = 5(12 + -4x) (-9 * -4 + 4x * -4) = 5(12 + -4x) (36 + -16x) = 5(12 + -4x) 36 + -16x = (12 * 5 + -4x * 5) 36 + -16x = (60 + -20x) Solving 36 + -16x = 60 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 36 + -16x + 20x = 60 + -20x + 20x Combine like terms: -16x + 20x = 4x 36 + 4x = 60 + -20x + 20x Combine like terms: -20x + 20x = 0 36 + 4x = 60 + 0 36 + 4x = 60 Add '-36' to each side of the equation. 36 + -36 + 4x = 60 + -36 Combine like terms: 36 + -36 = 0 0 + 4x = 60 + -36 4x = 60 + -36 Combine like terms: 60 + -36 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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