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Simplifying 10x + 50 = 15x + -75 Reorder the terms: 50 + 10x = 15x + -75 Reorder the terms: 50 + 10x = -75 + 15x Solving 50 + 10x = -75 + 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. 50 + 10x + -15x = -75 + 15x + -15x Combine like terms: 10x + -15x = -5x 50 + -5x = -75 + 15x + -15x Combine like terms: 15x + -15x = 0 50 + -5x = -75 + 0 50 + -5x = -75 Add '-50' to each side of the equation. 50 + -50 + -5x = -75 + -50 Combine like terms: 50 + -50 = 0 0 + -5x = -75 + -50 -5x = -75 + -50 Combine like terms: -75 + -50 = -125 -5x = -125 Divide each side by '-5'. x = 25 Simplifying x = 25
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