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Simplifying 9x + 83 = 5x + 51 Reorder the terms: 83 + 9x = 5x + 51 Reorder the terms: 83 + 9x = 51 + 5x Solving 83 + 9x = 51 + 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. 83 + 9x + -5x = 51 + 5x + -5x Combine like terms: 9x + -5x = 4x 83 + 4x = 51 + 5x + -5x Combine like terms: 5x + -5x = 0 83 + 4x = 51 + 0 83 + 4x = 51 Add '-83' to each side of the equation. 83 + -83 + 4x = 51 + -83 Combine like terms: 83 + -83 = 0 0 + 4x = 51 + -83 4x = 51 + -83 Combine like terms: 51 + -83 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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