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Simplifying 9x + 22 = 14x + 7 Reorder the terms: 22 + 9x = 14x + 7 Reorder the terms: 22 + 9x = 7 + 14x Solving 22 + 9x = 7 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 22 + 9x + -14x = 7 + 14x + -14x Combine like terms: 9x + -14x = -5x 22 + -5x = 7 + 14x + -14x Combine like terms: 14x + -14x = 0 22 + -5x = 7 + 0 22 + -5x = 7 Add '-22' to each side of the equation. 22 + -22 + -5x = 7 + -22 Combine like terms: 22 + -22 = 0 0 + -5x = 7 + -22 -5x = 7 + -22 Combine like terms: 7 + -22 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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