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Simplifying 45 + 0.295x = 90 + 0.07x Solving 45 + 0.295x = 90 + 0.07x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.07x' to each side of the equation. 45 + 0.295x + -0.07x = 90 + 0.07x + -0.07x Combine like terms: 0.295x + -0.07x = 0.225x 45 + 0.225x = 90 + 0.07x + -0.07x Combine like terms: 0.07x + -0.07x = 0.00 45 + 0.225x = 90 + 0.00 45 + 0.225x = 90 Add '-45' to each side of the equation. 45 + -45 + 0.225x = 90 + -45 Combine like terms: 45 + -45 = 0 0 + 0.225x = 90 + -45 0.225x = 90 + -45 Combine like terms: 90 + -45 = 45 0.225x = 45 Divide each side by '0.225'. x = 200 Simplifying x = 200
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