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Simplifying 9x + -14 = 4x + 31 Reorder the terms: -14 + 9x = 4x + 31 Reorder the terms: -14 + 9x = 31 + 4x Solving -14 + 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. -14 + 9x + -4x = 31 + 4x + -4x Combine like terms: 9x + -4x = 5x -14 + 5x = 31 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + 5x = 31 + 0 -14 + 5x = 31 Add '14' to each side of the equation. -14 + 14 + 5x = 31 + 14 Combine like terms: -14 + 14 = 0 0 + 5x = 31 + 14 5x = 31 + 14 Combine like terms: 31 + 14 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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