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Simplifying 75 + 12.50x = 100 + 10x Solving 75 + 12.50x = 100 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 75 + 12.50x + -10x = 100 + 10x + -10x Combine like terms: 12.50x + -10x = 2.5x 75 + 2.5x = 100 + 10x + -10x Combine like terms: 10x + -10x = 0 75 + 2.5x = 100 + 0 75 + 2.5x = 100 Add '-75' to each side of the equation. 75 + -75 + 2.5x = 100 + -75 Combine like terms: 75 + -75 = 0 0 + 2.5x = 100 + -75 2.5x = 100 + -75 Combine like terms: 100 + -75 = 25 2.5x = 25 Divide each side by '2.5'. x = 10 Simplifying x = 10
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