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Simplifying 7x + 17 = 12x + 22 Reorder the terms: 17 + 7x = 12x + 22 Reorder the terms: 17 + 7x = 22 + 12x Solving 17 + 7x = 22 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 17 + 7x + -12x = 22 + 12x + -12x Combine like terms: 7x + -12x = -5x 17 + -5x = 22 + 12x + -12x Combine like terms: 12x + -12x = 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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