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Simplifying (x + -5)(-7) = 1 Reorder the terms: (-5 + x)(-7) = 1 Reorder the terms for easier multiplication: -7(-5 + x) = 1 (-5 * -7 + x * -7) = 1 (35 + -7x) = 1 Solving 35 + -7x = 1 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 + -7x = 1 + -35 Combine like terms: 35 + -35 = 0 0 + -7x = 1 + -35 -7x = 1 + -35 Combine like terms: 1 + -35 = -34 -7x = -34 Divide each side by '-7'. x = 4.857142857 Simplifying x = 4.857142857
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