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Simplifying 35 + -5x = 5(1 + -7x) 35 + -5x = (1 * 5 + -7x * 5) 35 + -5x = (5 + -35x) Solving 35 + -5x = 5 + -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. 35 + -5x + 35x = 5 + -35x + 35x Combine like terms: -5x + 35x = 30x 35 + 30x = 5 + -35x + 35x Combine like terms: -35x + 35x = 0 35 + 30x = 5 + 0 35 + 30x = 5 Add '-35' to each side of the equation. 35 + -35 + 30x = 5 + -35 Combine like terms: 35 + -35 = 0 0 + 30x = 5 + -35 30x = 5 + -35 Combine like terms: 5 + -35 = -30 30x = -30 Divide each side by '30'. x = -1 Simplifying x = -1
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