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Simplifying 9(3x + -6) = -12x + -12(3x + -8) Reorder the terms: 9(-6 + 3x) = -12x + -12(3x + -8) (-6 * 9 + 3x * 9) = -12x + -12(3x + -8) (-54 + 27x) = -12x + -12(3x + -8) Reorder the terms: -54 + 27x = -12x + -12(-8 + 3x) -54 + 27x = -12x + (-8 * -12 + 3x * -12) -54 + 27x = -12x + (96 + -36x) Reorder the terms: -54 + 27x = 96 + -12x + -36x Combine like terms: -12x + -36x = -48x -54 + 27x = 96 + -48x Solving -54 + 27x = 96 + -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. -54 + 27x + 48x = 96 + -48x + 48x Combine like terms: 27x + 48x = 75x -54 + 75x = 96 + -48x + 48x Combine like terms: -48x + 48x = 0 -54 + 75x = 96 + 0 -54 + 75x = 96 Add '54' to each side of the equation. -54 + 54 + 75x = 96 + 54 Combine like terms: -54 + 54 = 0 0 + 75x = 96 + 54 75x = 96 + 54 Combine like terms: 96 + 54 = 150 75x = 150 Divide each side by '75'. x = 2 Simplifying x = 2
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