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Simplifying (8 + -1x) * 900 = 200(x + -1) Reorder the terms for easier multiplication: 900(8 + -1x) = 200(x + -1) (8 * 900 + -1x * 900) = 200(x + -1) (7200 + -900x) = 200(x + -1) Reorder the terms: 7200 + -900x = 200(-1 + x) 7200 + -900x = (-1 * 200 + x * 200) 7200 + -900x = (-200 + 200x) Solving 7200 + -900x = -200 + 200x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-200x' to each side of the equation. 7200 + -900x + -200x = -200 + 200x + -200x Combine like terms: -900x + -200x = -1100x 7200 + -1100x = -200 + 200x + -200x Combine like terms: 200x + -200x = 0 7200 + -1100x = -200 + 0 7200 + -1100x = -200 Add '-7200' to each side of the equation. 7200 + -7200 + -1100x = -200 + -7200 Combine like terms: 7200 + -7200 = 0 0 + -1100x = -200 + -7200 -1100x = -200 + -7200 Combine like terms: -200 + -7200 = -7400 -1100x = -7400 Divide each side by '-1100'. x = 6.727272727 Simplifying x = 6.727272727
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