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Simplifying 14x + 9 = 5x + 117 Reorder the terms: 9 + 14x = 5x + 117 Reorder the terms: 9 + 14x = 117 + 5x Solving 9 + 14x = 117 + 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. 9 + 14x + -5x = 117 + 5x + -5x Combine like terms: 14x + -5x = 9x 9 + 9x = 117 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 9x = 117 + 0 9 + 9x = 117 Add '-9' to each side of the equation. 9 + -9 + 9x = 117 + -9 Combine like terms: 9 + -9 = 0 0 + 9x = 117 + -9 9x = 117 + -9 Combine like terms: 117 + -9 = 108 9x = 108 Divide each side by '9'. x = 12 Simplifying x = 12
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