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Simplifying 9x + 24 = 4x + 109 Reorder the terms: 24 + 9x = 4x + 109 Reorder the terms: 24 + 9x = 109 + 4x Solving 24 + 9x = 109 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 24 + 9x + -4x = 109 + 4x + -4x Combine like terms: 9x + -4x = 5x 24 + 5x = 109 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + 5x = 109 + 0 24 + 5x = 109 Add '-24' to each side of the equation. 24 + -24 + 5x = 109 + -24 Combine like terms: 24 + -24 = 0 0 + 5x = 109 + -24 5x = 109 + -24 Combine like terms: 109 + -24 = 85 5x = 85 Divide each side by '5'. x = 17 Simplifying x = 17
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