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Simplifying 10x + 22 = 7x + 34 Reorder the terms: 22 + 10x = 7x + 34 Reorder the terms: 22 + 10x = 34 + 7x Solving 22 + 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. 22 + 10x + -7x = 34 + 7x + -7x Combine like terms: 10x + -7x = 3x 22 + 3x = 34 + 7x + -7x Combine like terms: 7x + -7x = 0 22 + 3x = 34 + 0 22 + 3x = 34 Add '-22' to each side of the equation. 22 + -22 + 3x = 34 + -22 Combine like terms: 22 + -22 = 0 0 + 3x = 34 + -22 3x = 34 + -22 Combine like terms: 34 + -22 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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