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Simplifying -9(-8 + 6x) = -6(7x + -2) + -2x (-8 * -9 + 6x * -9) = -6(7x + -2) + -2x (72 + -54x) = -6(7x + -2) + -2x Reorder the terms: 72 + -54x = -6(-2 + 7x) + -2x 72 + -54x = (-2 * -6 + 7x * -6) + -2x 72 + -54x = (12 + -42x) + -2x Combine like terms: -42x + -2x = -44x 72 + -54x = 12 + -44x Solving 72 + -54x = 12 + -44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44x' to each side of the equation. 72 + -54x + 44x = 12 + -44x + 44x Combine like terms: -54x + 44x = -10x 72 + -10x = 12 + -44x + 44x Combine like terms: -44x + 44x = 0 72 + -10x = 12 + 0 72 + -10x = 12 Add '-72' to each side of the equation. 72 + -72 + -10x = 12 + -72 Combine like terms: 72 + -72 = 0 0 + -10x = 12 + -72 -10x = 12 + -72 Combine like terms: 12 + -72 = -60 -10x = -60 Divide each side by '-10'. x = 6 Simplifying x = 6
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