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Simplifying 10x + 75 = 15x + 50 Reorder the terms: 75 + 10x = 15x + 50 Reorder the terms: 75 + 10x = 50 + 15x Solving 75 + 10x = 50 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 75 + 10x + -15x = 50 + 15x + -15x Combine like terms: 10x + -15x = -5x 75 + -5x = 50 + 15x + -15x Combine like terms: 15x + -15x = 0 75 + -5x = 50 + 0 75 + -5x = 50 Add '-75' to each side of the equation. 75 + -75 + -5x = 50 + -75 Combine like terms: 75 + -75 = 0 0 + -5x = 50 + -75 -5x = 50 + -75 Combine like terms: 50 + -75 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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