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Simplifying 10x + 14 = 5x + 109 Reorder the terms: 14 + 10x = 5x + 109 Reorder the terms: 14 + 10x = 109 + 5x Solving 14 + 10x = 109 + 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 + 10x + -5x = 109 + 5x + -5x Combine like terms: 10x + -5x = 5x 14 + 5x = 109 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + 5x = 109 + 0 14 + 5x = 109 Add '-14' to each side of the equation. 14 + -14 + 5x = 109 + -14 Combine like terms: 14 + -14 = 0 0 + 5x = 109 + -14 5x = 109 + -14 Combine like terms: 109 + -14 = 95 5x = 95 Divide each side by '5'. x = 19 Simplifying x = 19
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