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Simplifying 9x + 2 = 5x + 14 Reorder the terms: 2 + 9x = 5x + 14 Reorder the terms: 2 + 9x = 14 + 5x Solving 2 + 9x = 14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + 9x + -5x = 14 + 5x + -5x Combine like terms: 9x + -5x = 4x 2 + 4x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 4x = 14 + 0 2 + 4x = 14 Add '-2' to each side of the equation. 2 + -2 + 4x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 14 + -2 4x = 14 + -2 Combine like terms: 14 + -2 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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