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Simplifying ax + bx + 1 = 8 Reorder the terms: 1 + ax + bx = 8 Solving 1 + ax + bx = 8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + ax + -1 + bx = 8 + -1 Reorder the terms: 1 + -1 + ax + bx = 8 + -1 Combine like terms: 1 + -1 = 0 0 + ax + bx = 8 + -1 ax + bx = 8 + -1 Combine like terms: 8 + -1 = 7 ax + bx = 7 Add '-1bx' to each side of the equation. ax + bx + -1bx = 7 + -1bx Combine like terms: bx + -1bx = 0 ax + 0 = 7 + -1bx ax = 7 + -1bx Divide each side by 'x'. a = 7x-1 + -1b Simplifying a = 7x-1 + -1b Reorder the terms: a = -1b + 7x-1
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