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Simplifying ax + 9 + -4x + b = 20x + 35 Reorder the terms: 9 + ax + b + -4x = 20x + 35 Reorder the terms: 9 + ax + b + -4x = 35 + 20x Solving 9 + ax + b + -4x = 35 + 20x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + ax + b + -9 + -4x = 35 + -9 + 20x Reorder the terms: 9 + -9 + ax + b + -4x = 35 + -9 + 20x Combine like terms: 9 + -9 = 0 0 + ax + b + -4x = 35 + -9 + 20x ax + b + -4x = 35 + -9 + 20x Combine like terms: 35 + -9 = 26 ax + b + -4x = 26 + 20x Add '-1b' to each side of the equation. ax + b + -1b + -4x = 26 + -1b + 20x Combine like terms: b + -1b = 0 ax + 0 + -4x = 26 + -1b + 20x ax + -4x = 26 + -1b + 20x Add '4x' to each side of the equation. ax + -4x + 4x = 26 + -1b + 20x + 4x Combine like terms: -4x + 4x = 0 ax + 0 = 26 + -1b + 20x + 4x ax = 26 + -1b + 20x + 4x Combine like terms: 20x + 4x = 24x ax = 26 + -1b + 24x Divide each side by 'x'. a = 26x-1 + -1bx-1 + 24 Simplifying a = 26x-1 + -1bx-1 + 24 Reorder the terms: a = 24 + -1bx-1 + 26x-1
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