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Simplifying 8x + 38 = -5x + -14 Reorder the terms: 38 + 8x = -5x + -14 Reorder the terms: 38 + 8x = -14 + -5x Solving 38 + 8x = -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. 38 + 8x + 5x = -14 + -5x + 5x Combine like terms: 8x + 5x = 13x 38 + 13x = -14 + -5x + 5x Combine like terms: -5x + 5x = 0 38 + 13x = -14 + 0 38 + 13x = -14 Add '-38' to each side of the equation. 38 + -38 + 13x = -14 + -38 Combine like terms: 38 + -38 = 0 0 + 13x = -14 + -38 13x = -14 + -38 Combine like terms: -14 + -38 = -52 13x = -52 Divide each side by '13'. x = -4 Simplifying x = -4
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