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Simplifying 6x + 8x + -38 = 3x + 5x Reorder the terms: -38 + 6x + 8x = 3x + 5x Combine like terms: 6x + 8x = 14x -38 + 14x = 3x + 5x Combine like terms: 3x + 5x = 8x -38 + 14x = 8x Solving -38 + 14x = 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 + 14x + -8x = 8x + -8x Combine like terms: 14x + -8x = 6x -38 + 6x = 8x + -8x Combine like terms: 8x + -8x = 0 -38 + 6x = 0 Add '38' to each side of the equation. -38 + 38 + 6x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 6x = 0 + 38 6x = 0 + 38 Combine like terms: 0 + 38 = 38 6x = 38 Divide each side by '6'. x = 6.333333333 Simplifying x = 6.333333333
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