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Simplifying -169 = -7(-5 + 5x) + x -169 = (-5 * -7 + 5x * -7) + x -169 = (35 + -35x) + x Combine like terms: -35x + x = -34x -169 = 35 + -34x Solving -169 = 35 + -34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34x' to each side of the equation. -169 + 34x = 35 + -34x + 34x Combine like terms: -34x + 34x = 0 -169 + 34x = 35 + 0 -169 + 34x = 35 Add '169' to each side of the equation. -169 + 169 + 34x = 35 + 169 Combine like terms: -169 + 169 = 0 0 + 34x = 35 + 169 34x = 35 + 169 Combine like terms: 35 + 169 = 204 34x = 204 Divide each side by '34'. x = 6 Simplifying x = 6
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