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Simplifying -6(7x + 5) = 54 Reorder the terms: -6(5 + 7x) = 54 (5 * -6 + 7x * -6) = 54 (-30 + -42x) = 54 Solving -30 + -42x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -42x = 54 + 30 Combine like terms: -30 + 30 = 0 0 + -42x = 54 + 30 -42x = 54 + 30 Combine like terms: 54 + 30 = 84 -42x = 84 Divide each side by '-42'. x = -2 Simplifying x = -2
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