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Simplifying 9x + 14 = 5x + 122 Reorder the terms: 14 + 9x = 5x + 122 Reorder the terms: 14 + 9x = 122 + 5x Solving 14 + 9x = 122 + 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. 14 + 9x + -5x = 122 + 5x + -5x Combine like terms: 9x + -5x = 4x 14 + 4x = 122 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + 4x = 122 + 0 14 + 4x = 122 Add '-14' to each side of the equation. 14 + -14 + 4x = 122 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 122 + -14 4x = 122 + -14 Combine like terms: 122 + -14 = 108 4x = 108 Divide each side by '4'. x = 27 Simplifying x = 27
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