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Simplifying -5x + 2 + 2X + 4 = ax + b Reorder the terms: 2 + 4 + 2X + -5x = ax + b Combine like terms: 2 + 4 = 6 6 + 2X + -5x = ax + b Solving 6 + 2X + -5x = ax + b Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 2X + -6 + -5x = ax + -6 + b Reorder the terms: 6 + -6 + 2X + -5x = ax + -6 + b Combine like terms: 6 + -6 = 0 0 + 2X + -5x = ax + -6 + b 2X + -5x = ax + -6 + b Reorder the terms: 2X + -5x = -6 + ax + b Add '5x' to each side of the equation. 2X + -5x + 5x = -6 + ax + b + 5x Combine like terms: -5x + 5x = 0 2X + 0 = -6 + ax + b + 5x 2X = -6 + ax + b + 5x Divide each side by '2'. X = -3 + 0.5ax + 0.5b + 2.5x Simplifying X = -3 + 0.5ax + 0.5b + 2.5x
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