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Simplifying 3x + 22 = -2x + 27 Reorder the terms: 22 + 3x = -2x + 27 Reorder the terms: 22 + 3x = 27 + -2x Solving 22 + 3x = 27 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 22 + 3x + 2x = 27 + -2x + 2x Combine like terms: 3x + 2x = 5x 22 + 5x = 27 + -2x + 2x Combine like terms: -2x + 2x = 0 22 + 5x = 27 + 0 22 + 5x = 27 Add '-22' to each side of the equation. 22 + -22 + 5x = 27 + -22 Combine like terms: 22 + -22 = 0 0 + 5x = 27 + -22 5x = 27 + -22 Combine like terms: 27 + -22 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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