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Simplifying 1000(9x + -10) = (992 + -100x) Reorder the terms: 1000(-10 + 9x) = (992 + -100x) (-10 * 1000 + 9x * 1000) = (992 + -100x) (-10000 + 9000x) = (992 + -100x) Remove parenthesis around (992 + -100x) -10000 + 9000x = 992 + -100x Solving -10000 + 9000x = 992 + -100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '100x' to each side of the equation. -10000 + 9000x + 100x = 992 + -100x + 100x Combine like terms: 9000x + 100x = 9100x -10000 + 9100x = 992 + -100x + 100x Combine like terms: -100x + 100x = 0 -10000 + 9100x = 992 + 0 -10000 + 9100x = 992 Add '10000' to each side of the equation. -10000 + 10000 + 9100x = 992 + 10000 Combine like terms: -10000 + 10000 = 0 0 + 9100x = 992 + 10000 9100x = 992 + 10000 Combine like terms: 992 + 10000 = 10992 9100x = 10992 Divide each side by '9100'. x = 1.207912088 Simplifying x = 1.207912088
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