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Simplifying 100 + 9x = 9.50x + 75 Reorder the terms: 100 + 9x = 75 + 9.50x Solving 100 + 9x = 75 + 9.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.50x' to each side of the equation. 100 + 9x + -9.50x = 75 + 9.50x + -9.50x Combine like terms: 9x + -9.50x = -0.5x 100 + -0.5x = 75 + 9.50x + -9.50x Combine like terms: 9.50x + -9.50x = 0.00 100 + -0.5x = 75 + 0.00 100 + -0.5x = 75 Add '-100' to each side of the equation. 100 + -100 + -0.5x = 75 + -100 Combine like terms: 100 + -100 = 0 0 + -0.5x = 75 + -100 -0.5x = 75 + -100 Combine like terms: 75 + -100 = -25 -0.5x = -25 Divide each side by '-0.5'. x = 50 Simplifying x = 50
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