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Simplifying -38 + x = 6x + 32 Reorder the terms: -38 + x = 32 + 6x Solving -38 + x = 32 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -38 + x + -6x = 32 + 6x + -6x Combine like terms: x + -6x = -5x -38 + -5x = 32 + 6x + -6x Combine like terms: 6x + -6x = 0 -38 + -5x = 32 + 0 -38 + -5x = 32 Add '38' to each side of the equation. -38 + 38 + -5x = 32 + 38 Combine like terms: -38 + 38 = 0 0 + -5x = 32 + 38 -5x = 32 + 38 Combine like terms: 32 + 38 = 70 -5x = 70 Divide each side by '-5'. x = -14 Simplifying x = -14
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