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Simplifying -35 + 10x = 34 + 7x Solving -35 + 10x = 34 + 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 + 10x + -7x = 34 + 7x + -7x Combine like terms: 10x + -7x = 3x -35 + 3x = 34 + 7x + -7x Combine like terms: 7x + -7x = 0 -35 + 3x = 34 + 0 -35 + 3x = 34 Add '35' to each side of the equation. -35 + 35 + 3x = 34 + 35 Combine like terms: -35 + 35 = 0 0 + 3x = 34 + 35 3x = 34 + 35 Combine like terms: 34 + 35 = 69 3x = 69 Divide each side by '3'. x = 23 Simplifying x = 23
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