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Simplifying 5x + 14 = 38 + -8x Reorder the terms: 14 + 5x = 38 + -8x Solving 14 + 5x = 38 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 14 + 5x + 8x = 38 + -8x + 8x Combine like terms: 5x + 8x = 13x 14 + 13x = 38 + -8x + 8x Combine like terms: -8x + 8x = 0 14 + 13x = 38 + 0 14 + 13x = 38 Add '-14' to each side of the equation. 14 + -14 + 13x = 38 + -14 Combine like terms: 14 + -14 = 0 0 + 13x = 38 + -14 13x = 38 + -14 Combine like terms: 38 + -14 = 24 13x = 24 Divide each side by '13'. x = 1.846153846 Simplifying x = 1.846153846
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