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Simplifying 49.05 = x + 0.09x Combine like terms: x + 0.09x = 1.09x 49.05 = 1.09x Solving 49.05 = 1.09x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.09x' to each side of the equation. 49.05 + -1.09x = 1.09x + -1.09x Combine like terms: 1.09x + -1.09x = 0.00 49.05 + -1.09x = 0.00 Add '-49.05' to each side of the equation. 49.05 + -49.05 + -1.09x = 0.00 + -49.05 Combine like terms: 49.05 + -49.05 = 0.00 0.00 + -1.09x = 0.00 + -49.05 -1.09x = 0.00 + -49.05 Combine like terms: 0.00 + -49.05 = -49.05 -1.09x = -49.05 Divide each side by '-1.09'. x = 45 Simplifying x = 45
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