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Simplifying 0.95x + 10.00 = 0.45x + 15.00 Reorder the terms: 10.00 + 0.95x = 0.45x + 15.00 Reorder the terms: 10.00 + 0.95x = 15.00 + 0.45x Solving 10.00 + 0.95x = 15.00 + 0.45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.45x' to each side of the equation. 10.00 + 0.95x + -0.45x = 15.00 + 0.45x + -0.45x Combine like terms: 0.95x + -0.45x = 0.5x 10.00 + 0.5x = 15.00 + 0.45x + -0.45x Combine like terms: 0.45x + -0.45x = 0.00 10.00 + 0.5x = 15.00 + 0.00 10.00 + 0.5x = 15.00 Add '-10.00' to each side of the equation. 10.00 + -10.00 + 0.5x = 15.00 + -10.00 Combine like terms: 10.00 + -10.00 = 0.00 0.00 + 0.5x = 15.00 + -10.00 0.5x = 15.00 + -10.00 Combine like terms: 15.00 + -10.00 = 5 0.5x = 5 Divide each side by '0.5'. x = 10 Simplifying x = 10
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