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Simplifying 0.01 + 0.10(300 + -1x) = 0.41x 0.01 + (300 * 0.10 + -1x * 0.10) = 0.41x 0.01 + (30 + -0.1x) = 0.41x Combine like terms: 0.01 + 30 = 30.01 30.01 + -0.1x = 0.41x Solving 30.01 + -0.1x = 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. 30.01 + -0.1x + -0.41x = 0.41x + -0.41x Combine like terms: -0.1x + -0.41x = -0.51x 30.01 + -0.51x = 0.41x + -0.41x Combine like terms: 0.41x + -0.41x = 0.00 30.01 + -0.51x = 0.00 Add '-30.01' to each side of the equation. 30.01 + -30.01 + -0.51x = 0.00 + -30.01 Combine like terms: 30.01 + -30.01 = 0.00 0.00 + -0.51x = 0.00 + -30.01 -0.51x = 0.00 + -30.01 Combine like terms: 0.00 + -30.01 = -30.01 -0.51x = -30.01 Divide each side by '-0.51'. x = 58.84313725 Simplifying x = 58.84313725
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