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Simplifying 14 + 29x = 42 + 22x Solving 14 + 29x = 42 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 14 + 29x + -22x = 42 + 22x + -22x Combine like terms: 29x + -22x = 7x 14 + 7x = 42 + 22x + -22x Combine like terms: 22x + -22x = 0 14 + 7x = 42 + 0 14 + 7x = 42 Add '-14' to each side of the equation. 14 + -14 + 7x = 42 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = 42 + -14 7x = 42 + -14 Combine like terms: 42 + -14 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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