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Simplifying 10(1 + -10) + -1(10 + -1x) + -100(10 + -1x) = 0.05 Combine like terms: 1 + -10 = -9 10(-9) + -1(10 + -1x) + -100(10 + -1x) = 0.05 Multiply 10 * -9 -90 + -1(10 + -1x) + -100(10 + -1x) = 0.05 -90 + (10 * -1 + -1x * -1) + -100(10 + -1x) = 0.05 -90 + (-10 + 1x) + -100(10 + -1x) = 0.05 -90 + -10 + 1x + (10 * -100 + -1x * -100) = 0.05 -90 + -10 + 1x + (-1000 + 100x) = 0.05 Reorder the terms: -90 + -10 + -1000 + 1x + 100x = 0.05 Combine like terms: -90 + -10 = -100 -100 + -1000 + 1x + 100x = 0.05 Combine like terms: -100 + -1000 = -1100 -1100 + 1x + 100x = 0.05 Combine like terms: 1x + 100x = 101x -1100 + 101x = 0.05 Solving -1100 + 101x = 0.05 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1100' to each side of the equation. -1100 + 1100 + 101x = 0.05 + 1100 Combine like terms: -1100 + 1100 = 0 0 + 101x = 0.05 + 1100 101x = 0.05 + 1100 Combine like terms: 0.05 + 1100 = 1100.05 101x = 1100.05 Divide each side by '101'. x = 10.89158416 Simplifying x = 10.89158416
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