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Simplifying 0.05 + 0.10(200 + -1x) = 0.45x 0.05 + (200 * 0.10 + -1x * 0.10) = 0.45x 0.05 + (20 + -0.1x) = 0.45x Combine like terms: 0.05 + 20 = 20.05 20.05 + -0.1x = 0.45x Solving 20.05 + -0.1x = 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. 20.05 + -0.1x + -0.45x = 0.45x + -0.45x Combine like terms: -0.1x + -0.45x = -0.55x 20.05 + -0.55x = 0.45x + -0.45x Combine like terms: 0.45x + -0.45x = 0.00 20.05 + -0.55x = 0.00 Add '-20.05' to each side of the equation. 20.05 + -20.05 + -0.55x = 0.00 + -20.05 Combine like terms: 20.05 + -20.05 = 0.00 0.00 + -0.55x = 0.00 + -20.05 -0.55x = 0.00 + -20.05 Combine like terms: 0.00 + -20.05 = -20.05 -0.55x = -20.05 Divide each side by '-0.55'. x = 36.45454545 Simplifying x = 36.45454545
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