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Simplifying 9x + -14 = 5x + 38 Reorder the terms: -14 + 9x = 5x + 38 Reorder the terms: -14 + 9x = 38 + 5x Solving -14 + 9x = 38 + 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. -14 + 9x + -5x = 38 + 5x + -5x Combine like terms: 9x + -5x = 4x -14 + 4x = 38 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + 4x = 38 + 0 -14 + 4x = 38 Add '14' to each side of the equation. -14 + 14 + 4x = 38 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = 38 + 14 4x = 38 + 14 Combine like terms: 38 + 14 = 52 4x = 52 Divide each side by '4'. x = 13 Simplifying x = 13
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