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Simplifying 7x + 35 = 2x + 140 Reorder the terms: 35 + 7x = 2x + 140 Reorder the terms: 35 + 7x = 140 + 2x Solving 35 + 7x = 140 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 35 + 7x + -2x = 140 + 2x + -2x Combine like terms: 7x + -2x = 5x 35 + 5x = 140 + 2x + -2x Combine like terms: 2x + -2x = 0 35 + 5x = 140 + 0 35 + 5x = 140 Add '-35' to each side of the equation. 35 + -35 + 5x = 140 + -35 Combine like terms: 35 + -35 = 0 0 + 5x = 140 + -35 5x = 140 + -35 Combine like terms: 140 + -35 = 105 5x = 105 Divide each side by '5'. x = 21 Simplifying x = 21
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