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