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Simplifying 0.01x + 0.1(400 + -1x) = 0.41x 0.01x + (400 * 0.1 + -1x * 0.1) = 0.41x 0.01x + (40 + -0.1x) = 0.41x Reorder the terms: 40 + 0.01x + -0.1x = 0.41x Combine like terms: 0.01x + -0.1x = -0.09x 40 + -0.09x = 0.41x Solving 40 + -0.09x = 0.41x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.41x' to each side of the equation. 40 + -0.09x + -0.41x = 0.41x + -0.41x Combine like terms: -0.09x + -0.41x = -0.5x 40 + -0.5x = 0.41x + -0.41x Combine like terms: 0.41x + -0.41x = 0.00 40 + -0.5x = 0.00 Add '-40' to each side of the equation. 40 + -40 + -0.5x = 0.00 + -40 Combine like terms: 40 + -40 = 0 0 + -0.5x = 0.00 + -40 -0.5x = 0.00 + -40 Combine like terms: 0.00 + -40 = -40 -0.5x = -40 Divide each side by '-0.5'. x = 80 Simplifying x = 80
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