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Simplifying 10x + 23 = 5x + 138 Reorder the terms: 23 + 10x = 5x + 138 Reorder the terms: 23 + 10x = 138 + 5x Solving 23 + 10x = 138 + 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. 23 + 10x + -5x = 138 + 5x + -5x Combine like terms: 10x + -5x = 5x 23 + 5x = 138 + 5x + -5x Combine like terms: 5x + -5x = 0 23 + 5x = 138 + 0 23 + 5x = 138 Add '-23' to each side of the equation. 23 + -23 + 5x = 138 + -23 Combine like terms: 23 + -23 = 0 0 + 5x = 138 + -23 5x = 138 + -23 Combine like terms: 138 + -23 = 115 5x = 115 Divide each side by '5'. x = 23 Simplifying x = 23
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