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Simplifying 5x + 38 = 8x + -14 Reorder the terms: 38 + 5x = 8x + -14 Reorder the terms: 38 + 5x = -14 + 8x Solving 38 + 5x = -14 + 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. 38 + 5x + -8x = -14 + 8x + -8x Combine like terms: 5x + -8x = -3x 38 + -3x = -14 + 8x + -8x Combine like terms: 8x + -8x = 0 38 + -3x = -14 + 0 38 + -3x = -14 Add '-38' to each side of the equation. 38 + -38 + -3x = -14 + -38 Combine like terms: 38 + -38 = 0 0 + -3x = -14 + -38 -3x = -14 + -38 Combine like terms: -14 + -38 = -52 -3x = -52 Divide each side by '-3'. x = 17.33333333 Simplifying x = 17.33333333
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