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Simplifying 9x + 22 = 4x + 117 Reorder the terms: 22 + 9x = 4x + 117 Reorder the terms: 22 + 9x = 117 + 4x Solving 22 + 9x = 117 + 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. 22 + 9x + -4x = 117 + 4x + -4x Combine like terms: 9x + -4x = 5x 22 + 5x = 117 + 4x + -4x Combine like terms: 4x + -4x = 0 22 + 5x = 117 + 0 22 + 5x = 117 Add '-22' to each side of the equation. 22 + -22 + 5x = 117 + -22 Combine like terms: 22 + -22 = 0 0 + 5x = 117 + -22 5x = 117 + -22 Combine like terms: 117 + -22 = 95 5x = 95 Divide each side by '5'. x = 19 Simplifying x = 19
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