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Simplifying -6(-9 + -6x) = -6(5 + -7x) (-9 * -6 + -6x * -6) = -6(5 + -7x) (54 + 36x) = -6(5 + -7x) 54 + 36x = (5 * -6 + -7x * -6) 54 + 36x = (-30 + 42x) Solving 54 + 36x = -30 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 54 + 36x + -42x = -30 + 42x + -42x Combine like terms: 36x + -42x = -6x 54 + -6x = -30 + 42x + -42x Combine like terms: 42x + -42x = 0 54 + -6x = -30 + 0 54 + -6x = -30 Add '-54' to each side of the equation. 54 + -54 + -6x = -30 + -54 Combine like terms: 54 + -54 = 0 0 + -6x = -30 + -54 -6x = -30 + -54 Combine like terms: -30 + -54 = -84 -6x = -84 Divide each side by '-6'. x = 14 Simplifying x = 14
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