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Simplifying 13x + -35 = 7x + 37 Reorder the terms: -35 + 13x = 7x + 37 Reorder the terms: -35 + 13x = 37 + 7x Solving -35 + 13x = 37 + 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 + 13x + -7x = 37 + 7x + -7x Combine like terms: 13x + -7x = 6x -35 + 6x = 37 + 7x + -7x Combine like terms: 7x + -7x = 0 -35 + 6x = 37 + 0 -35 + 6x = 37 Add '35' to each side of the equation. -35 + 35 + 6x = 37 + 35 Combine like terms: -35 + 35 = 0 0 + 6x = 37 + 35 6x = 37 + 35 Combine like terms: 37 + 35 = 72 6x = 72 Divide each side by '6'. x = 12 Simplifying x = 12
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