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Simplifying -3x + 17 = 2x + 22 Reorder the terms: 17 + -3x = 2x + 22 Reorder the terms: 17 + -3x = 22 + 2x Solving 17 + -3x = 22 + 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. 17 + -3x + -2x = 22 + 2x + -2x Combine like terms: -3x + -2x = -5x 17 + -5x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 17 + -5x = 22 + 0 17 + -5x = 22 Add '-17' to each side of the equation. 17 + -17 + -5x = 22 + -17 Combine like terms: 17 + -17 = 0 0 + -5x = 22 + -17 -5x = 22 + -17 Combine like terms: 22 + -17 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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