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Simplifying -35 + 7x = 2x + 45 Reorder the terms: -35 + 7x = 45 + 2x Solving -35 + 7x = 45 + 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 = 45 + 2x + -2x Combine like terms: 7x + -2x = 5x -35 + 5x = 45 + 2x + -2x Combine like terms: 2x + -2x = 0 -35 + 5x = 45 + 0 -35 + 5x = 45 Add '35' to each side of the equation. -35 + 35 + 5x = 45 + 35 Combine like terms: -35 + 35 = 0 0 + 5x = 45 + 35 5x = 45 + 35 Combine like terms: 45 + 35 = 80 5x = 80 Divide each side by '5'. x = 16 Simplifying x = 16
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