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Simplifying 9x + 35 = 7x + 75 Reorder the terms: 35 + 9x = 7x + 75 Reorder the terms: 35 + 9x = 75 + 7x Solving 35 + 9x = 75 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 35 + 9x + -7x = 75 + 7x + -7x Combine like terms: 9x + -7x = 2x 35 + 2x = 75 + 7x + -7x Combine like terms: 7x + -7x = 0 35 + 2x = 75 + 0 35 + 2x = 75 Add '-35' to each side of the equation. 35 + -35 + 2x = 75 + -35 Combine like terms: 35 + -35 = 0 0 + 2x = 75 + -35 2x = 75 + -35 Combine like terms: 75 + -35 = 40 2x = 40 Divide each side by '2'. x = 20 Simplifying x = 20
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