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Simplifying 5x + 16 = 14x + 83 Reorder the terms: 16 + 5x = 14x + 83 Reorder the terms: 16 + 5x = 83 + 14x Solving 16 + 5x = 83 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 16 + 5x + -14x = 83 + 14x + -14x Combine like terms: 5x + -14x = -9x 16 + -9x = 83 + 14x + -14x Combine like terms: 14x + -14x = 0 16 + -9x = 83 + 0 16 + -9x = 83 Add '-16' to each side of the equation. 16 + -16 + -9x = 83 + -16 Combine like terms: 16 + -16 = 0 0 + -9x = 83 + -16 -9x = 83 + -16 Combine like terms: 83 + -16 = 67 -9x = 67 Divide each side by '-9'. x = -7.444444444 Simplifying x = -7.444444444
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