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Simplifying 14x + 16 = 9x + 14 + 52 Reorder the terms: 16 + 14x = 9x + 14 + 52 Reorder the terms: 16 + 14x = 14 + 52 + 9x Combine like terms: 14 + 52 = 66 16 + 14x = 66 + 9x Solving 16 + 14x = 66 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 16 + 14x + -9x = 66 + 9x + -9x Combine like terms: 14x + -9x = 5x 16 + 5x = 66 + 9x + -9x Combine like terms: 9x + -9x = 0 16 + 5x = 66 + 0 16 + 5x = 66 Add '-16' to each side of the equation. 16 + -16 + 5x = 66 + -16 Combine like terms: 16 + -16 = 0 0 + 5x = 66 + -16 5x = 66 + -16 Combine like terms: 66 + -16 = 50 5x = 50 Divide each side by '5'. x = 10 Simplifying x = 10
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