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Simplifying x2 + ax + 19 = x2 + 26x + 169 Reorder the terms: 19 + ax + x2 = x2 + 26x + 169 Reorder the terms: 19 + ax + x2 = 169 + 26x + x2 Add '-1x2' to each side of the equation. 19 + ax + x2 + -1x2 = 169 + 26x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 19 + ax + 0 = 169 + 26x + x2 + -1x2 19 + ax = 169 + 26x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 19 + ax = 169 + 26x + 0 19 + ax = 169 + 26x Solving 19 + ax = 169 + 26x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + ax = 169 + -19 + 26x Combine like terms: 19 + -19 = 0 0 + ax = 169 + -19 + 26x ax = 169 + -19 + 26x Combine like terms: 169 + -19 = 150 ax = 150 + 26x Divide each side by 'x'. a = 150x-1 + 26 Simplifying a = 150x-1 + 26 Reorder the terms: a = 26 + 150x-1
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