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Simplifying 1000 = 10x + -1(0.1x + 10000) Reorder the terms: 1000 = 10x + -1(10000 + 0.1x) 1000 = 10x + (10000 * -1 + 0.1x * -1) 1000 = 10x + (-10000 + -0.1x) Reorder the terms: 1000 = -10000 + 10x + -0.1x Combine like terms: 10x + -0.1x = 9.9x 1000 = -10000 + 9.9x Solving 1000 = -10000 + 9.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.9x' to each side of the equation. 1000 + -9.9x = -10000 + 9.9x + -9.9x Combine like terms: 9.9x + -9.9x = 0.0 1000 + -9.9x = -10000 + 0.0 1000 + -9.9x = -10000 Add '-1000' to each side of the equation. 1000 + -1000 + -9.9x = -10000 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -9.9x = -10000 + -1000 -9.9x = -10000 + -1000 Combine like terms: -10000 + -1000 = -11000 -9.9x = -11000 Divide each side by '-9.9'. x = 1111.111111 Simplifying x = 1111.111111
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