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Simplifying 9x + 22 = 5x + 78 Reorder the terms: 22 + 9x = 5x + 78 Reorder the terms: 22 + 9x = 78 + 5x Solving 22 + 9x = 78 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 22 + 9x + -5x = 78 + 5x + -5x Combine like terms: 9x + -5x = 4x 22 + 4x = 78 + 5x + -5x Combine like terms: 5x + -5x = 0 22 + 4x = 78 + 0 22 + 4x = 78 Add '-22' to each side of the equation. 22 + -22 + 4x = 78 + -22 Combine like terms: 22 + -22 = 0 0 + 4x = 78 + -22 4x = 78 + -22 Combine like terms: 78 + -22 = 56 4x = 56 Divide each side by '4'. x = 14 Simplifying x = 14
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