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Simplifying 9x + 16 = 4x + 31 Reorder the terms: 16 + 9x = 4x + 31 Reorder the terms: 16 + 9x = 31 + 4x Solving 16 + 9x = 31 + 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. 16 + 9x + -4x = 31 + 4x + -4x Combine like terms: 9x + -4x = 5x 16 + 5x = 31 + 4x + -4x Combine like terms: 4x + -4x = 0 16 + 5x = 31 + 0 16 + 5x = 31 Add '-16' to each side of the equation. 16 + -16 + 5x = 31 + -16 Combine like terms: 16 + -16 = 0 0 + 5x = 31 + -16 5x = 31 + -16 Combine like terms: 31 + -16 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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