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Simplifying 9(-4x + 4) = -4(12x + 6) Reorder the terms: 9(4 + -4x) = -4(12x + 6) (4 * 9 + -4x * 9) = -4(12x + 6) (36 + -36x) = -4(12x + 6) Reorder the terms: 36 + -36x = -4(6 + 12x) 36 + -36x = (6 * -4 + 12x * -4) 36 + -36x = (-24 + -48x) Solving 36 + -36x = -24 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. 36 + -36x + 48x = -24 + -48x + 48x Combine like terms: -36x + 48x = 12x 36 + 12x = -24 + -48x + 48x Combine like terms: -48x + 48x = 0 36 + 12x = -24 + 0 36 + 12x = -24 Add '-36' to each side of the equation. 36 + -36 + 12x = -24 + -36 Combine like terms: 36 + -36 = 0 0 + 12x = -24 + -36 12x = -24 + -36 Combine like terms: -24 + -36 = -60 12x = -60 Divide each side by '12'. x = -5 Simplifying x = -5
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