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Simplifying 1 + -1x = 5(-7 + 7x) 1 + -1x = (-7 * 5 + 7x * 5) 1 + -1x = (-35 + 35x) Solving 1 + -1x = -35 + 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. 1 + -1x + -35x = -35 + 35x + -35x Combine like terms: -1x + -35x = -36x 1 + -36x = -35 + 35x + -35x Combine like terms: 35x + -35x = 0 1 + -36x = -35 + 0 1 + -36x = -35 Add '-1' to each side of the equation. 1 + -1 + -36x = -35 + -1 Combine like terms: 1 + -1 = 0 0 + -36x = -35 + -1 -36x = -35 + -1 Combine like terms: -35 + -1 = -36 -36x = -36 Divide each side by '-36'. x = 1 Simplifying x = 1
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