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Simplifying 0.0x + 0.10(100 + -1x) = 0.41x Anything times zero is zero. 0.0x + 0.10(100 + -1x) = 0.41x 0.0 + (100 * 0.10 + -1x * 0.10) = 0.41x 0.0 + (10 + -0.1x) = 0.41x Combine like terms: 0.0 + 10 = 10 10 + -0.1x = 0.41x Solving 10 + -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. 10 + -0.1x + -0.41x = 0.41x + -0.41x Combine like terms: -0.1x + -0.41x = -0.51x 10 + -0.51x = 0.41x + -0.41x Combine like terms: 0.41x + -0.41x = 0.00 10 + -0.51x = 0.00 Add '-10' to each side of the equation. 10 + -10 + -0.51x = 0.00 + -10 Combine like terms: 10 + -10 = 0 0 + -0.51x = 0.00 + -10 -0.51x = 0.00 + -10 Combine like terms: 0.00 + -10 = -10 -0.51x = -10 Divide each side by '-0.51'. x = 19.60784314 Simplifying x = 19.60784314
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