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Simplifying (ax + 9) + (ax + 9) + (4x + b) = 55x Reorder the terms: (9 + ax) + (ax + 9) + (4x + b) = 55x Remove parenthesis around (9 + ax) 9 + ax + (ax + 9) + (4x + b) = 55x Reorder the terms: 9 + ax + (9 + ax) + (4x + b) = 55x Remove parenthesis around (9 + ax) 9 + ax + 9 + ax + (4x + b) = 55x Reorder the terms: 9 + ax + 9 + ax + (b + 4x) = 55x Remove parenthesis around (b + 4x) 9 + ax + 9 + ax + b + 4x = 55x Reorder the terms: 9 + 9 + ax + ax + b + 4x = 55x Combine like terms: 9 + 9 = 18 18 + ax + ax + b + 4x = 55x Combine like terms: ax + ax = 2ax 18 + 2ax + b + 4x = 55x Solving 18 + 2ax + b + 4x = 55x 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 = -18 + 55x Reorder the terms: 18 + -18 + 2ax + b + 4x = -18 + 55x Combine like terms: 18 + -18 = 0 0 + 2ax + b + 4x = -18 + 55x 2ax + b + 4x = -18 + 55x Add '-1b' to each side of the equation. 2ax + b + -1b + 4x = -18 + -1b + 55x Combine like terms: b + -1b = 0 2ax + 0 + 4x = -18 + -1b + 55x 2ax + 4x = -18 + -1b + 55x Add '-4x' to each side of the equation. 2ax + 4x + -4x = -18 + -1b + 55x + -4x Combine like terms: 4x + -4x = 0 2ax + 0 = -18 + -1b + 55x + -4x 2ax = -18 + -1b + 55x + -4x Combine like terms: 55x + -4x = 51x 2ax = -18 + -1b + 51x Divide each side by '2x'. a = -9x-1 + -0.5bx-1 + 25.5 Simplifying a = -9x-1 + -0.5bx-1 + 25.5 Reorder the terms: a = 25.5 + -0.5bx-1 + -9x-1
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