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Simplifying 7 + 2ax = (1 + -1a) * x Reorder the terms for easier multiplication: 7 + 2ax = x(1 + -1a) 7 + 2ax = (1 * x + -1a * x) Reorder the terms: 7 + 2ax = (-1ax + 1x) 7 + 2ax = (-1ax + 1x) Solving 7 + 2ax = -1ax + 1x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'ax' to each side of the equation. 7 + 2ax + ax = -1ax + ax + 1x Combine like terms: 2ax + ax = 3ax 7 + 3ax = -1ax + ax + 1x Combine like terms: -1ax + ax = 0 7 + 3ax = 0 + 1x 7 + 3ax = 1x Add '-7' to each side of the equation. 7 + -7 + 3ax = -7 + 1x Combine like terms: 7 + -7 = 0 0 + 3ax = -7 + 1x 3ax = -7 + 1x Divide each side by '3x'. a = -2.333333333x-1 + 0.3333333333 Simplifying a = -2.333333333x-1 + 0.3333333333 Reorder the terms: a = 0.3333333333 + -2.333333333x-1
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