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Simplifying 5x + 14 = 38 + -3x Reorder the terms: 14 + 5x = 38 + -3x Solving 14 + 5x = 38 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 14 + 5x + 3x = 38 + -3x + 3x Combine like terms: 5x + 3x = 8x 14 + 8x = 38 + -3x + 3x Combine like terms: -3x + 3x = 0 14 + 8x = 38 + 0 14 + 8x = 38 Add '-14' to each side of the equation. 14 + -14 + 8x = 38 + -14 Combine like terms: 14 + -14 = 0 0 + 8x = 38 + -14 8x = 38 + -14 Combine like terms: 38 + -14 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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