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Simplifying -169 = -6x + 5(1 + 7x) -169 = -6x + (1 * 5 + 7x * 5) -169 = -6x + (5 + 35x) Reorder the terms: -169 = 5 + -6x + 35x Combine like terms: -6x + 35x = 29x -169 = 5 + 29x Solving -169 = 5 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. -169 + -29x = 5 + 29x + -29x Combine like terms: 29x + -29x = 0 -169 + -29x = 5 + 0 -169 + -29x = 5 Add '169' to each side of the equation. -169 + 169 + -29x = 5 + 169 Combine like terms: -169 + 169 = 0 0 + -29x = 5 + 169 -29x = 5 + 169 Combine like terms: 5 + 169 = 174 -29x = 174 Divide each side by '-29'. x = -6 Simplifying x = -6
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