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Simplifying 7(-6x + 5) = -427 Reorder the terms: 7(5 + -6x) = -427 (5 * 7 + -6x * 7) = -427 (35 + -42x) = -427 Solving 35 + -42x = -427 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -42x = -427 + -35 Combine like terms: 35 + -35 = 0 0 + -42x = -427 + -35 -42x = -427 + -35 Combine like terms: -427 + -35 = -462 -42x = -462 Divide each side by '-42'. x = 11 Simplifying x = 11
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