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Simplifying 1000 + -1x = 9x + 100 Reorder the terms: 1000 + -1x = 100 + 9x Solving 1000 + -1x = 100 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 1000 + -1x + -9x = 100 + 9x + -9x Combine like terms: -1x + -9x = -10x 1000 + -10x = 100 + 9x + -9x Combine like terms: 9x + -9x = 0 1000 + -10x = 100 + 0 1000 + -10x = 100 Add '-1000' to each side of the equation. 1000 + -1000 + -10x = 100 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -10x = 100 + -1000 -10x = 100 + -1000 Combine like terms: 100 + -1000 = -900 -10x = -900 Divide each side by '-10'. x = 90 Simplifying x = 90
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