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Simplifying 35 + 7x = 7(6x + -5) Reorder the terms: 35 + 7x = 7(-5 + 6x) 35 + 7x = (-5 * 7 + 6x * 7) 35 + 7x = (-35 + 42x) Solving 35 + 7x = -35 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 35 + 7x + -42x = -35 + 42x + -42x Combine like terms: 7x + -42x = -35x 35 + -35x = -35 + 42x + -42x Combine like terms: 42x + -42x = 0 35 + -35x = -35 + 0 35 + -35x = -35 Add '-35' to each side of the equation. 35 + -35 + -35x = -35 + -35 Combine like terms: 35 + -35 = 0 0 + -35x = -35 + -35 -35x = -35 + -35 Combine like terms: -35 + -35 = -70 -35x = -70 Divide each side by '-35'. x = 2 Simplifying x = 2
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