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Simplifying 10x + 27 = 5x + 92 Reorder the terms: 27 + 10x = 5x + 92 Reorder the terms: 27 + 10x = 92 + 5x Solving 27 + 10x = 92 + 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. 27 + 10x + -5x = 92 + 5x + -5x Combine like terms: 10x + -5x = 5x 27 + 5x = 92 + 5x + -5x Combine like terms: 5x + -5x = 0 27 + 5x = 92 + 0 27 + 5x = 92 Add '-27' to each side of the equation. 27 + -27 + 5x = 92 + -27 Combine like terms: 27 + -27 = 0 0 + 5x = 92 + -27 5x = 92 + -27 Combine like terms: 92 + -27 = 65 5x = 65 Divide each side by '5'. x = 13 Simplifying x = 13
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