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Simplifying -1x + 7 = -7(5x + -1) Reorder the terms: 7 + -1x = -7(5x + -1) Reorder the terms: 7 + -1x = -7(-1 + 5x) 7 + -1x = (-1 * -7 + 5x * -7) 7 + -1x = (7 + -35x) Add '-7' to each side of the equation. 7 + -7 + -1x = 7 + -7 + -35x Combine like terms: 7 + -7 = 0 0 + -1x = 7 + -7 + -35x -1x = 7 + -7 + -35x Combine like terms: 7 + -7 = 0 -1x = 0 + -35x -1x = -35x Solving -1x = -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. -1x + 35x = -35x + 35x Combine like terms: -1x + 35x = 34x 34x = -35x + 35x Combine like terms: -35x + 35x = 0 34x = 0 Divide each side by '34'. x = 0 Simplifying x = 0
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