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Simplifying 100(ax + bx + 10) = 9000 Reorder the terms: 100(10 + ax + bx) = 9000 (10 * 100 + ax * 100 + bx * 100) = 9000 (1000 + 100ax + 100bx) = 9000 Solving 1000 + 100ax + 100bx = 9000 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1000' to each side of the equation. 1000 + 100ax + -1000 + 100bx = 9000 + -1000 Reorder the terms: 1000 + -1000 + 100ax + 100bx = 9000 + -1000 Combine like terms: 1000 + -1000 = 0 0 + 100ax + 100bx = 9000 + -1000 100ax + 100bx = 9000 + -1000 Combine like terms: 9000 + -1000 = 8000 100ax + 100bx = 8000 Add '-100bx' to each side of the equation. 100ax + 100bx + -100bx = 8000 + -100bx Combine like terms: 100bx + -100bx = 0 100ax + 0 = 8000 + -100bx 100ax = 8000 + -100bx Divide each side by '100x'. a = 80x-1 + -1b Simplifying a = 80x-1 + -1b Reorder the terms: a = -1b + 80x-1
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