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Simplifying 10x + -5 = 7x + 22 Reorder the terms: -5 + 10x = 7x + 22 Reorder the terms: -5 + 10x = 22 + 7x Solving -5 + 10x = 22 + 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. -5 + 10x + -7x = 22 + 7x + -7x Combine like terms: 10x + -7x = 3x -5 + 3x = 22 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + 3x = 22 + 0 -5 + 3x = 22 Add '5' to each side of the equation. -5 + 5 + 3x = 22 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 22 + 5 3x = 22 + 5 Combine like terms: 22 + 5 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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