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Simplifying 38 = 5x + 3x + 6 Reorder the terms: 38 = 6 + 5x + 3x Combine like terms: 5x + 3x = 8x 38 = 6 + 8x Solving 38 = 6 + 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 + -8x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 38 + -8x = 6 + 0 38 + -8x = 6 Add '-38' to each side of the equation. 38 + -38 + -8x = 6 + -38 Combine like terms: 38 + -38 = 0 0 + -8x = 6 + -38 -8x = 6 + -38 Combine like terms: 6 + -38 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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