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Simplifying 5x + -22 = 3x + 10 Reorder the terms: -22 + 5x = 3x + 10 Reorder the terms: -22 + 5x = 10 + 3x Solving -22 + 5x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -22 + 5x + -3x = 10 + 3x + -3x Combine like terms: 5x + -3x = 2x -22 + 2x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -22 + 2x = 10 + 0 -22 + 2x = 10 Add '22' to each side of the equation. -22 + 22 + 2x = 10 + 22 Combine like terms: -22 + 22 = 0 0 + 2x = 10 + 22 2x = 10 + 22 Combine like terms: 10 + 22 = 32 2x = 32 Divide each side by '2'. x = 16 Simplifying x = 16
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