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Simplifying (ax + 9) + (ax + 9) + 4x + b = 20x + 35 Reorder the terms: (9 + ax) + (ax + 9) + 4x + b = 20x + 35 Remove parenthesis around (9 + ax) 9 + ax + (ax + 9) + 4x + b = 20x + 35 Reorder the terms: 9 + ax + (9 + ax) + 4x + b = 20x + 35 Remove parenthesis around (9 + ax) 9 + ax + 9 + ax + 4x + b = 20x + 35 Reorder the terms: 9 + 9 + ax + ax + b + 4x = 20x + 35 Combine like terms: 9 + 9 = 18 18 + ax + ax + b + 4x = 20x + 35 Combine like terms: ax + ax = 2ax 18 + 2ax + b + 4x = 20x + 35 Reorder the terms: 18 + 2ax + b + 4x = 35 + 20x Solving 18 + 2ax + b + 4x = 35 + 20x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 2ax + b + -18 + 4x = 35 + -18 + 20x Reorder the terms: 18 + -18 + 2ax + b + 4x = 35 + -18 + 20x Combine like terms: 18 + -18 = 0 0 + 2ax + b + 4x = 35 + -18 + 20x 2ax + b + 4x = 35 + -18 + 20x Combine like terms: 35 + -18 = 17 2ax + b + 4x = 17 + 20x Add '-1b' to each side of the equation. 2ax + b + -1b + 4x = 17 + -1b + 20x Combine like terms: b + -1b = 0 2ax + 0 + 4x = 17 + -1b + 20x 2ax + 4x = 17 + -1b + 20x Add '-4x' to each side of the equation. 2ax + 4x + -4x = 17 + -1b + 20x + -4x Combine like terms: 4x + -4x = 0 2ax + 0 = 17 + -1b + 20x + -4x 2ax = 17 + -1b + 20x + -4x Combine like terms: 20x + -4x = 16x 2ax = 17 + -1b + 16x Divide each side by '2x'. a = 8.5x-1 + -0.5bx-1 + 8 Simplifying a = 8.5x-1 + -0.5bx-1 + 8 Reorder the terms: a = 8 + -0.5bx-1 + 8.5x-1
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