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Simplifying 10x + -22 = 29 + 7x Reorder the terms: -22 + 10x = 29 + 7x Solving -22 + 10x = 29 + 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 = 29 + 7x + -7x Combine like terms: 10x + -7x = 3x -22 + 3x = 29 + 7x + -7x Combine like terms: 7x + -7x = 0 -22 + 3x = 29 + 0 -22 + 3x = 29 Add '22' to each side of the equation. -22 + 22 + 3x = 29 + 22 Combine like terms: -22 + 22 = 0 0 + 3x = 29 + 22 3x = 29 + 22 Combine like terms: 29 + 22 = 51 3x = 51 Divide each side by '3'. x = 17 Simplifying x = 17
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