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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 = -52 13x = -52 Divide each side by '13'. x = -4 Simplifying x = -4
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