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Simplifying 2(ax + -1b) + -5c = 5x + 2b (ax * 2 + -1b * 2) + -5c = 5x + 2b (2ax + -2b) + -5c = 5x + 2b Reorder the terms: 2ax + -2b + -5c = 2b + 5x Solving 2ax + -2b + -5c = 2b + 5x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2b' to each side of the equation. 2ax + -2b + 2b + -5c = 2b + 2b + 5x Combine like terms: -2b + 2b = 0 2ax + 0 + -5c = 2b + 2b + 5x 2ax + -5c = 2b + 2b + 5x Combine like terms: 2b + 2b = 4b 2ax + -5c = 4b + 5x Add '5c' to each side of the equation. 2ax + -5c + 5c = 4b + 5c + 5x Combine like terms: -5c + 5c = 0 2ax + 0 = 4b + 5c + 5x 2ax = 4b + 5c + 5x Divide each side by '2x'. a = 2bx-1 + 2.5cx-1 + 2.5 Simplifying a = 2bx-1 + 2.5cx-1 + 2.5 Reorder the terms: a = 2.5 + 2bx-1 + 2.5cx-1
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