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Simplifying a(2x + -1b) + 2 = 9 + -1(ab + -5x) Reorder the terms: a(-1b + 2x) + 2 = 9 + -1(ab + -5x) (-1b * a + 2x * a) + 2 = 9 + -1(ab + -5x) (-1ab + 2ax) + 2 = 9 + -1(ab + -5x) Reorder the terms: 2 + -1ab + 2ax = 9 + -1(ab + -5x) 2 + -1ab + 2ax = 9 + (ab * -1 + -5x * -1) 2 + -1ab + 2ax = 9 + (-1ab + 5x) Add 'ab' to each side of the equation. 2 + -1ab + ab + 2ax = 9 + -1ab + ab + 5x Combine like terms: -1ab + ab = 0 2 + 0 + 2ax = 9 + -1ab + ab + 5x 2 + 2ax = 9 + -1ab + ab + 5x Combine like terms: -1ab + ab = 0 2 + 2ax = 9 + 0 + 5x 2 + 2ax = 9 + 5x Solving 2 + 2ax = 9 + 5x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2ax = 9 + -2 + 5x Combine like terms: 2 + -2 = 0 0 + 2ax = 9 + -2 + 5x 2ax = 9 + -2 + 5x Combine like terms: 9 + -2 = 7 2ax = 7 + 5x Divide each side by '2x'. a = 3.5x-1 + 2.5 Simplifying a = 3.5x-1 + 2.5 Reorder the terms: a = 2.5 + 3.5x-1
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